Free Printable Polynomials

1.

What is the degree classification of this polynomial?

x²+ 4x -8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

2.

Which is an example of a linear polynomial?

a)

x² - 5

b)

6x + 4

c)

5x⁵

d)

2x³ - 9x²

3.

A real number 'α' is called zero of the polynomial f(x) if ____

a)

f(α) = -1

b)

f(α) = 0

c)

f(α) = 1

d)

None of the above

4.

If α,β be the zeros of the quadratic polynomial 2 - 3x - x², then α + β = _____

a)

2

b)

- 3

c)

1

d)

None of the above

5.

Say 'TRUE' or 'FALSE'
A Polynomial of degree n ≥ 1 has at most n real zeroes.

a)

TRUE

b)

FALSE

6.

a)

No Zero

b)

0

c)

5

d)

0 and 5

7.

a)

4

b)

5

c)

3

d)

2

8.

Graph of a quadratic polynomial is a

a)

straight line

b)

circle

c)

parabola

d)

ellipse

9.

If 1 is a zero of the polynomial p(x) = ax²– 3(a – 1) x – 1, then find the value of a.

a)

1

b)

0

c)

2

d)

3

10.

Find all the zeroes of $x^4-3x^3+6x-4$ , if two of its zeroes are
$\sqrt{2}\ and-\sqrt{2}$

a)

-1,-2

b)

1,2

c)

1,-1

d)

2,-2

11.

What is the number of zeroes of the polynomial y = p(x)?

a)

3

b)

2

c)

1

d)

0

12.

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

a)

2

b)

3

c)

4

d)

5

13.

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is

a)

-c/a

b)

c/a

c)

0

d)

3

14.

If 𝛼 𝑎𝑛𝑑 1/𝛼 are the zeroes of the polynomial 3x² + x + (k – 2) find k.

a)

2

b)

3

c)

-3

d)

5

15.

Find the zeroes of 4x² – 5

a)

$\sqrt{\frac{5}{2}}$

b)

$\pm\frac{\sqrt{5}}{2}$

c)

$\sqrt{2}$

d)

$\pm\frac{5}{2}$

16.

Find zeroes of polynomial x²- 5x + 6

a)

1, 2

b)

2, 3

c)

-2, -3

d)

-1, -2

17.

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

18.

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

19.

Find a quadratic polynomial whose zeros are 3/5 and -1/2

a)

10x² - x - 3

b)

5x² + 2x -7

c)

x² - 3

d)

3x² + 5x +2

Polynomials

Total questions: 19

Worksheet time: 10mins

Similar Resources on Wayground