Free Printable Polynomials

1.

If one zero of the quadratic polynomial $x^2+3x+k$ is 2, then the value of $k$ is

a)

10

b)

$-\ 10$

c)

5

d)

$-\ 5$

2.

Given that two of the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$ are 0, the third zero is

a)

$\frac{-b}{a}$

b)

$\frac{b}{a}$

c)

$\frac{c}{a}$

d)

$\frac{-d}{a}$

3.

Which of the following is not the graph of a quadratic polynomial ?

a)

b)

c)

d)

4.

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

a)

1

b)

2

c)

3

d)

more than 3

5.

A quadratic polynomial, whose zeroes 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)

$2x^2\ +\ 2x\ -\ 24$

6.

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

a)

(-7, -1)

b)

(5, -1)

c)

(2, -6)

d)

(0, -6)

7.

The zeros of the quadratic polynomial x² + 88x + 125 are

a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal

8.

If the sum of the zeros of the quadratic polynomial $kx^2+2x+3k$ is equal to the product of its zeros then $k$ = ?

a)

$\frac{1}{3}$

b)

$\frac{-1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{-2}{3}$

9.

If $\alpha,\beta$ are the zeroes of the polynomial $x^2+6x+2$ then $\left(\frac{1}{\alpha}+\frac{1}{\beta}\right)$ = ?

a)

3

b)

- 3

c)

12

d)

- 12

10.

If $\alpha,\beta$ are the zeroes of the polynomial $2x^2+5x+k$ such that $\alpha^2+\beta^2+\alpha\beta=\frac{21}{4}$ then $k$ = ?

a)

3

b)

- 3

c)

- 2

d)

2

11.

If one of the zeros of the cubic polynomial $x^3+ax^2+bx+c$ is $-1$ then the product of the other two zeros is

a)

$a-b-1$

b)

$b-a-1$

c)

$1-a+b$

d)

$1+a-b$

12.

Polynomial representing given graph is

a)

$x^2+x-3$

b)

$x^2-x+3$

c)

$x^2-2x-3$

d)

$x^2+2x+3$

13.

If the polynomial x⁴ + 2x³ + 8x² +12x + 8 is divided by another polynomial x² + 5 , the remainder comes out to be px + q. Find the values of p and q are

a)

2 and 8

b)

2 and 12

c)

2 and 8

d)

2 and - 7

14.

If the polynomial $p\left(x\right)=2x^4+7x^3-19x^2-14x+30$ has two of its zeroes are $\sqrt{2}\ and-\sqrt{2}$ , then two other zeroes will be

a)

$\frac{7}{2}\ and\ 5$

b)

$-5\ and\ \frac{3}{2}$

c)

$\frac{5}{2}\ and\ -3$

d)

$7\ and\ \frac{-5}{2}$

15.

If the polynomial $p\left(x\right)=2x^3+ax^2+bx+6$ is divisible by $x^2+x-2$ , then the values of a and b are

a)

a = 1 and b = 7

b)

a = 1 and b = - 7

c)

a = - 1 and b = 7

d)

a = -1 and b = - 7

Polynomials

Total questions: 15

Worksheet time: 4hrs 31mins

Similar Resources on Wayground