Free Printable SECOND QUARTER TEST PART 2

1.

Solve by Factoring:
x² + 15x + 64 = 20

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

2.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

3.

Which of the following is a linear equation?

a)

3 x + 2 = 0

b)

x + x ² = 2

c)

x² + x = 21 - x ³

d)

x − x ^-2+ 3 = 0

4.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, ±8

b)

±1, ±2, ±4, ±8

c)

±1, ±2, ±4

d)

1, 2, 4, 8

5.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, ±7, ±1/3, ±7/3

b)

±1, 7

c)

±1, ±3, ±7, ±7/3

d)

±1, ±3, ±7, ±1/3, ±7/3

6.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

a)

±1, ±5, ±1/2, ±5/2

b)

±1, ±2, ±5, ±1/2, ±5/2

c)

±1, ±5

d)

±1, ±2, ±5, ±1/2, ±5/2, ±2/5

7.

What kind of polynomial equation is x³+x+1=0?

a)

linear equation

b)

quadratic equation

c)

cubic equation

d)

quartic equation

8.

What is the degree of the polynomial equation x²−2x+x⁴+4=0?

a)

1

b)

2

c)

3

d)

4

9.

Solve by using Rational Root Theorem:
2x³ - 11x² + 12x + 9 = 0

a)

-1, 1, 3

b)

-1, 3/2, 3

c)

-1/2, 3, 3

d)

-1/2, 1, 3

10.

Solve by using Rational Root Theorem:
x³ - 7x - 6 = 0

a)

1, 2, 3

b)

-1, -2, - 3

c)

-1, -2, 3

d)

1,-2,-3

11.

Which of the following is a polynomial equation?

a)

x⁻³−4x²=7x+8

b)

x⁵+x²−x+4=0

c)

6x^1.4+3x^2.3−5.3x=0

d)

x−x^-2+3=0

12.

Which of the following is not a polynomial equation.

a)

2x³−x²=x−1

b)

0.25x⁴+1.74x³−0.10x²=1.3

c)

x⁻⁴+x−2+4=0

d)

x+2x²=0

13.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

14.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

15.

Which of the following are solutions of the polynomial equation x³−4x²−x+4=0

a)

-1

b)

-2

c)

-3

d)

-4

16.

How many possible solutions are there in 6x³−6x²+x+6=0?

a)

1

b)

2

c)

3

d)

4

17.

Solve the value of the expression 2x ²+ x -3, if x = 2.

a)

5

b)

7

c)

9

d)

11

18.

According to the Rational Root Theorem, what are the all possible rational roots?
2x³ - 11x² + 12x + 9 = 0

a)

±1,±2

b)

±1,±3,±9

c)

±1,±3±9,±1/2,±3/2,±9/2

d)

±1,±2,±1/3,±2/3,±1/9,±2/9

19.

Solve by using Rational Root Theorem:
x³ + 3x² - 6x - 8 = 0

a)

-4, -1, 2

b)

-4, -1, ±√2

c)

1, 2, 4

d)

4,-1,√2

20.

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

a)

-3

b)

-4

c)

1

d)

6

21.

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

a)

x=-4, x=3, x=-2

b)

x=-4, x=3, x=2

c)

x=-4, x=3, x=2

d)

x=4, x=3, x=2

22.

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

a)

1

b)

2

c)

3

d)

4

23.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

24.

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ - 8x² - 23x + 30

a)

3

b)

-1

c)

-10

d)

1

25.

What are the zeros of the polynomial?

h(x) = x⁴ + 3x³ - 55x² - 99x +630

a)

-5,6,-3,7

b)

5 6, 3, -7

c)

-5, 6, 3, -7

d)

6, 3, -7

26.

What are the zeros of the polynomial

g(x) = 2x⁴ -19x² + 46x² + 7x - 60

a)

-1,4,5,3/2

b)

-1,-4,5,-3/2

c)

1,4,5,3/2

d)

-1,4,5,2/3

27.

Which of the following algebraic expression is polynomial?

a)

$\sqrt{x}\ +2$

b)

$x+3$

c)

$x^{\frac{1}{3}}+\ y\ ^{\frac{2}{3}}$

d)

$x\ +\ \frac{2}{x}$

28.

$What\ is\ the\ \deg ree\ \ of\ polynomial\ x^3\ +\ 3x^2y^2$

a)

1

b)

2

c)

3

d)

4

29.

Which of the following is not true?

a)

The degree of polynomial is always in whole number.

b)

The degree of polynomial can be any real number.

c)

The coefficients used in polynomial can be real number.

d)

All the above.

30.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, ±8

b)

±1, ±2, ±4, ±8

c)

±1, ±2, ±4

d)

1, 2, 4, 8

31.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, 7, 1/3, 7/3

b)

±1, 7

c)

±1, 3, 7, 7/3

d)

±1, 3, 7, 1/3, 7/3

32.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

a)

±1, 5, 1/2, 5/2

b)

±1, 2, 5, 1/2, 5/2

c)

±1, 5

d)

±1, 2, 5, 1/2, 5/2, 2/5

33.

Which of the following is true?

a)

All algebraic expression are polynomial.

b)

All polynomial are algebraic expression.

c)

To be polynomial, the degree of expression should be integers.

d)

Constant expression is not polynomial.

34.

The numbers of roots of polynomial is equal to ................ of polynomial.

a)

Degree

b)

Coefficient

c)

Root

d)

Variable

35.

Which of the following is a polynomial?

a)

$4x^5-3x^4+2x^3-x^2+\ x\ +\ 2x^{\frac{1}{2}}+\ 6$

b)

$6x^3+2x^2+\ 5\ +\ 3x^{-2}$

c)

$\frac{2}{3}x^5-x^{2\ }+\ 2\sqrt{2}$

d)

$5x^7+3x^6-4\sqrt{x}-\ 7$

36.

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 7x² + 2x + 40

a)

8

b)

2

c)

5

d)

40

37.

Name all the q-factors for:
$g\left(x\right)=12x^2-15x-7$

a)

$-1,-7$

b)

$-1,-2,-3,-4,-6,-12$

c)

$\pm1,7$

d)

$\pm1,2,3,4,6,12$

38.

Find all the p/q factors for:
$f\left(x\right)=2x^4-3x^3+5x+25$

a)

$\pm1,5,25,\frac{1}{2},\frac{5}{2},\frac{25}{2}$

b)

$\pm1,2,\frac{1}{5},\frac{2}{5},\frac{1}{25},\frac{2}{25}$

c)

$\pm1,5,25$

d)

$\pm1,2$

39.

Solve by completing the square: 25x²+20x+4 = 16

a)

x = 2/5, -6/5

b)

x = - 2/5, 6/5

c)

x = 5/2, -5/6

d)

x = -5/2, 5/6

40.

Solve the following equation. x⁴+4x³ + 3x²= 0

a)

x = 0, x = 3, x = 1

b)

x = -3, x = -1

c)

x = 3, x = 1

d)

x = 0, x = -3, x = -1

41.

List all of the possible rational zeros
p(x) = 3x²+x+7

a)

-1/3, -7/3, -1, -7, 1/3,7/3,1,7

b)

1/3,7/3,1,7

c)

1, 7, 14, 21

42.

Find all of the rational zeros of each function.
q(x) = x³+3x²-6x-8

a)

1, 2, 4, 8, -1, -2, -4, -8

b)

-4, -1, 2

c)

1, 2, 4

43.

Determine the zeros of the polynomial function f(x)= (x - 8 )( x + 9)( x + 2).

a)

8, 9, 2

b)

-8, -9, -2

c)

8, -9, -2

d)

-8, 9, 2

44.

What are the zeros o the polynomial function f(x) = ( 2x + 1) (3x - 5 ) (x + 7)

a)

1/2, 5/3, 7

b)

-1/2, 5/3, -7

c)

-1/2, -5/3, -7

d)

1/2 , -5/3, 7

45.

Determine the zeros of the polynomial function f(x) = ( x² + 5x + 6 )(x² - 1).

a)

3, 2, 1, -1

b)

-3, -2, -1, 1

c)

-3, 2, 1, -1

d)

3, 2, 1

46.

Determine the zeros of the polynomial function f(x) = x³ +x² -17x +15.

a)

1, 5, 3

b)

-1, 3, 5

c)

1, 3,-5

d)

-1, -3, -5

47.

Find all the zeros of the polynomial function P(x) = x⁴ + 5x³ + 5x² -5x - 6.

a)

1, 2, 3

b)

1, -2, 3

c)

-1, -2, -3,1

d)

1, -2, -1, 3

48.

List all the possible rational zeros of P(x) = x⁵ - 7x⁴ + 5x³ - x² + 4x + 15.

a)

$\pm1,\ \pm3,\ \pm5\ and\ \pm15$

b)

$\pm3,\ \pm5$

c)

$\pm1,\ \pm3,\ \pm5,\ \pm10,\ \pm15$

d)

$\pm1,\ \pm15$

49.

Let h(x) = 2x⁴ +5x³ - 6x² + 7x - 10.Find all the possible rational zeros of the polynomial function.

a)

$\pm1,\ \pm\frac{1}{2},\ \pm2,\ \pm5,\ \pm10$

b)

$\pm\frac{1}{2},\ \pm1,\ \pm2,\ \pm\frac{5}{2},\ \pm5,\ \pm10$

c)

$\pm1,\ \pm2,\ \pm5,\ \pm10$

d)

$\pm1,\ \pm\frac{1}{2},\ \pm\frac{5}{2},\ \pm10$

50.

Determine the zeros of the polynomial P(x)= x³ + 4x² + x - 6.

a)

$\pm1,\ \pm6$

b)

$\pm2,\ \pm3,\ \pm6$

c)

$\pm1,\ \pm2,\ \pm3$

d)

$\pm1,\ \pm2,\ \pm3,\ \pm6$

SECOND QUARTER TEST PART 2 - MATHEMATICS 10

Total questions: 50

Worksheet time: 1hrs 17mins

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