Free Printable FIRST PT IN MATH 10

1.

What is the remainder R when the polynomial p(x) is divided by (x-3)? p(x) = x⁴ + 3x³ - 17x² + 2x -7

a)

0

b)

8

c)

4

d)

6

2.

Is (x-7) a factor of (x⁴ - x³ - x² + 62x - 34)?

a)

No

b)

Yes

3.

What is the proper way to write the answer of the following problem?

a)

x³ - 3x² - 5x - 15

b)

x² + 3x - 5x - 15

c)

x³ + 3x² - 5x - 15

d)

x³ - 3x² - 5x - 15

4.

Is (x + 2) a factor of (x⁴ + 10x³ + 21x² + 6x - 8)?

a)

Yes

b)

No

5.

$\left(2x^{3^{ }}-5x^2\ -\ x\ +\ 3\right)\ \div\ \left(x\ +\ 3\right)$

a)

$2x^2-11x\ -\ 32\ +\frac{-93}{x\ +\ 3}$

b)

$2x^2-11x\ +\ 32\ +\frac{-93}{x\ +\ 3}$

c)

$2x^2-11x\ +\ 32\ +\frac{93}{x\ +\ 3}$

d)

$2x^2+11x\ -\ 32\ +\frac{-93}{x\ +\ 3}$

6.

Is (n + 6) a factor of n⁵ + 6n⁴- 3n² - 22n - 29?

a)

Yes

b)

No

7.

What is the remainder of $(4y^3-9y^2+9y+3)\ \div\ \left(y\ -\ 1\right)$

a)

-7

b)

7

c)

3

d)

-3

8.

What is the remainder R when the polynomial p(x) is divided by (x-5)?

p(x) = x³- 5x²+ 2x - 10

a)

0

b)

3

c)

4

d)

2

9.

What is the leading coefficient of the polynomial? 8x² + 9x - 5

a)

-5

b)

2

c)

8

d)

1

10.

What is the degree among terms in the polynomial? 3x⁴ - 3x³ - 4x² - 6x + 9

a)

3

b)

4

c)

9

d)

1

11.

Decide if (x-3) is a factor of 3x³+10x²-x-12

a)

Yes, it is a factor!

b)

No, it is not a factor!

12.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

8

c)

-12

d)

6

13.

Using synthetic division, simplify the following. Put your answer in quotient-remainder form. $\frac{x^{3\ }+\ 7x^2+17x\ +41}{x\ +\ 5}$

a)

$x^2+12x+77\ +\frac{426}{x+5}$

b)

$x^2+12x+1-\frac{6}{x+5}$

c)

$x^2+2x+7+\frac{6}{x+5}$

d)

$x^2-12x-7\ -\frac{426}{x+5}$

14.

Which of the following is false?

a)

$(x-7)\ is\ a\ factor\ of\ (x^2-5x+14)$

b)

$(x-3)\ is\ a\ factor\ of\ (x^2-6x+9)$

c)

$(x+1)\ is\ a\ factor\ of\ (x^2+11x+10)$

d)

$(x-7)\ is\ a\ factor\ of\ (x^2-49)$

15.

(x+1) is a factor of which polynomials below. Try using the Remainder Theorem to see which polynomial has a remainder of zero.

a)

$p(x)=x^3−7x^2−11x−3$

b)

$P\left(x\right)=x^3+x^2+9x+10$

c)

$p(x)=x^4+3x^2−6$

d)

$P(x)=x^2+10x−5$

FIRST PT IN MATH 10

Total questions: 15

Worksheet time: 4hrs 45mins

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