Free Printable Zeroes of Polynomials

1.

$If\ \alpha,\beta\ are\ the\ zeroes\ of\ 3x^2-5x+2,\ then\ \alpha+\beta=$

a)

$\frac{3}{5}$

b)

$\frac{-5}{3}$

c)

$\frac{5}{3}$

d)

$\frac{-3}{5}$

2.

If $\alpha$ and $\beta$ are the zeroes of a polynomial, such that $\alpha+\beta=6$ and $\alpha\beta=4$ , then write the polynomial

a)

$x^2-6x+4$

b)

$x^2-6x-4$

c)

$x^2+6x+4$

d)

$x^2+6x-4$

3.

Find a quadratic polynomial, whose sum and product of zeroes are $\frac{-8}{3}$ and $\frac{4}{3}$ , respectively.

a)

$3x^2+8x+4$

b)

$3x^2-8x+4$

c)

$x^2+8x+4$

d)

$x^2-8x+4$

4.

Find the quadratic polynomial whose zeroes are 3 and -4, respectively

a)

$x^2+x+12$

b)

$x^2-x+12$

c)

$x^2+x-12$

d)

$x^2-x-12$

5.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

a)

10

b)

5

c)

-10

d)

-5

6.

What is the degree of a constant polynomial

a)

1

b)

0

c)

3

d)

-1

7.

A quadratic polynomial, whose zeores are -4 and -5, is

a)

x² - 9x + 20

b)

x² + 9x + 20

c)

x²-9x- 20

d)

x² + 9x- 20

8.

What is the number(s) of zeores that a cubic polynomial has/have

a)

1

b)

2

c)

3

d)

4

9.

If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is

a)

2

b)

4

c)

-2

d)

-4

10.

The zeroes of the quadratic polynomial x² – 18x + 81 are

a)

both negative

b)

both equal and positive

c)

one positive and one negative

d)

both positive and unequal

11.

The zeroes of the quadratic polynomial x² – 15x + 50 are

a)

both negative

b)

one positive and one negative

c)

both positive

d)

both equal

12.

To find zeroes of polynomials, we...

a)

say x=0

b)

Watch TV

c)

ask NASA

d)

set factors equal to zero

13.

For $\left(x+5\right)\left(x-1\right)=0$ , what is x equal to? (You can only select 1 answer!!!)

a)

x=-5

b)

x=-4 x=1

c)

x=1

d)

x=1 and x=-5

e)

x=-1 and x=5

14.

A polynomial has 7 factors. What is the degree of that polynomial?

a)

1

b)

3

c)

5

d)

7

e)

19

15.

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

a)

True

b)

False

16.

Sum of the zeros of the polynomial x²+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

17.

The zero of the polynomial p(x)=2x-1 is

a)

2

b)

1

c)

1/2

d)

-1/2

18.

The zeroes of the polynomial p(x) = x² - 3

a)

1,3

b)

1,-3

c)

√3 ,1

d)

√3 , - √3

19.

If ∝ , β are the zeroes of x² +7x +10 then ∝β

a)

-7

b)

7

c)

10

d)

-10

20.

Graph of a quadratic polynomial is a

a)

straight line

b)

circle

c)

parabola

d)

ellipse

Zeroes of Polynomials

Total questions: 20

Worksheet time: 20mins

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