Free Printable Polynomials

1.

The zeroes of the quadratic polynomial x² + 99x + 127 are......

a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal

2.

If the zeroes of the quadratic polynomial x² + bx + c , c ≠ 0 are equal, then....

a)

c and a have opposite signs

b)

c and b have opposite signs

c)

c and a have the same sign

d)

c and b have the same sign

3.

The number of polynomials having zeroes as –2 and 5 is....

a)

1

b)

2

c)

3

d)

more than 3

4.

The degree of the polynomial (x + 1)(x² – x – x⁴ +1) is......

a)

2

b)

3

c)

4

d)

5

5.

If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and –3, then......

a)

a = –7, b = –1

b)

a = 5, b = –1

c)

a = 2, b = – 6

d)

a = 0, b = – 6

6.

Given that one of the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$ is zero, the product of the other two zeroes is.....

a)

\frac{-c}{a}

b)

$\frac{c}{a}$

c)

0

d)

3

7.

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the Product of the other two zeroes is.......

a)

b – a + 1

b)

b – a – 1

c)

a – b + 1

d)

a – b –1

8.

If one of the zeroes of the quadratic polynomial $\left(k-1\right)x^2+kx+1$ is –3, then the value of k is.....

a)

\frac{4}{3}

b)

$\frac{-4}{3}$

c)

$\frac{2}{3}$

d)

$\frac{-2}{3}$

9.

A quadratic polynomial,whose zeros are -3 and 4 is....

a)

x^2-x+12

b)

$x^2+x+12$

c)

$\frac{x^2}{2}-\frac{x}{2}-6$

d)

$\frac{x^2}{2}+\frac{x}{2}-6$

10.

The value of p for which the polynomial x³ + 4x² –px + 8 is exactly divisible by (x – 2) is......

a)

0

b)

3

c)

5

d)

16

11.

If sum of the squares of zeroes of the quadratic polynomial 6x² + x + k is 25/36, the value of k is:

a)

4

b)

-4

c)

2

d)

-2

12.

If α and β are zeroes of x² – 4x + 1, then 1/α + 1/β – αβ is ....

a)

3

b)

5

c)

-5

d)

-3

13.

If (x + 1) is a factor of x²− 3ax +3a − 7, then the value of a is....

a)

1

b)

-1

c)

0

d)

-2

14.

If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it .....

a)

has no linear term and the constant term is negative.

b)

has no linear term and the constant term is positive.

c)

can have a linear term but the constant term is negative.

d)

can have a linear term but the constant term is positive.

15.

If α, β are zeroes of x² –6x + k, what is the value of k if 3α + 2β = 20?

a)

-8

b)

8

c)

-16

d)

2

16.

The polynomial p(x)=x−323 is a....

a)

Constant Polynomial

b)

Cubic Polynomial

c)

Quadratic Polynomial

d)

Linear Polynomial

17.

If x=2,y=−1, then the value of x²+4xy+4y² is...

a)

0

b)

1

c)

-1

d)

2

18.

According to the graph below, the product of the zeroes of the polynomial will be......

a)

Cannot be determined

b)

Zero

c)

Negative

d)

Positive

19.

Number of polynomials having 3 and 7 as zeroes are?

a)

1

b)

more than 3

c)

3

d)

2

20.

If α,β are the zeros of the polynomial, x²-px +36 and α² + β² = 9, then what is the value of p?

a)

6

b)

3

c)

9

d)

8

21.

What is the factorization of 2x²−7x−15?

a)

(x+5) (2x-3)

b)

(x+3) (2x-5)

c)

(x-5) (2x+3)

d)

(x-3) (2x-5)

22.

Which among the options is one of the factors of
$x^2+\frac{x}{6}+\frac{1}{6}$

a)

3x +1

b)

2x + 1

c)

X – (1/5)

d)

X- (1/2)

23.

The value of 'p' for which the polynomial x³+4x²-px+8 is exactly divisible by (x-2) is.....

a)

11

b)

13

c)

19

d)

16

24.

If (x + 1) is a factor of 2x³ + ax² + 2bx + 1, then find the values of a and b given that 2a - 3b = 0

a)

a = 3 and b = -2

b)

a = -3 and b = -2

c)

a = -3 and b = 2

d)

a = 3 and b = 2

25.

If the zeroes of the quadratic polynomial x² + (a +1)x+ b are 2 and -3, then...

a)

a = -7, b = -1

b)

a = 5,b = -1

c)

a=2, b = -6

d)

a=0,b = -6

26.

The zeroes of the quadratic polynomial x² + 99x + 127 are

a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal

27.

The zeroes of the quadratic polynomial x² + kx + k where k ≠ 0,

a)

cannot both be positive

b)

cannot both be negative

c)

are always unequal

d)

are always equal

28.

If the zeroes of a quadratic polynomial ax² + bx + c are both positive, then a, b and c all have the same sign?

a)

yes

b)

no

c)

may be

d)

may not be

29.

If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.

a)

yes

b)

no

c)

can not be

d)

can be

30.

If the polynomials(2x³+ax²+3x-5)and (x³+x²-4x+a) leave the same remainder when divided by (x-2) ,Then the value of a is ..........

a)

13/3

b)

3/13

c)

-13/3

d)

-3/13

Polynomials

Total questions: 30

Worksheet time: 59mins

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