Free Printable Polynomials class IX

1.

Classify the polynomial by its degree.

x² + 2x³ - 4

a)

A

binomial

b)

B

trinomial

c)

C

quadratic

d)

D

cubic

2.

Classify the polynomial by its number of terms.

4x² - 2

a)

A

monomial

b)

B

binomial

c)

C

trinomial

d)

D

polynomial

3.

Factor

x²- 13x + 36

a)

A

(x + 9)(x + 4)

b)

B

(x - 9)(x - 4)

c)

C

(x + 9)(x - 4)

d)

D

(x - 9)(x + 4)

4.

What is the area of the rectangle?

a)

A

2n² - 10n - 25

b)

B

n² + 25

c)

C

n² - 10n + 25

d)

D

n² - 25

5.

Which is an example of a linear polynomial?

a)

x²-5

b)

6x+4

c)

5x⁵

d)

2x³-9x²

6.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

a)

0

b)

2x-10

c)

-2x-10

d)

2x+10

7.

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

a)

-2

b)

-6

c)

-12

d)

0

8.

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!

9.

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

a)

x + 1

b)

x + 2

c)

x + 5

d)

x + 10

10.

If a+b=7, ab = 10, find a² + b²

a)

28

b)

29

c)

30

d)

27

11.

$If\ a+b+c=9\ and\ ab+bc+ca=23,\ then\ a^2+b^2+c^2\ =?$

a)

35

b)

58

c)

127

d)

153

12.

$Simplify:\ \frac{\left(89\right)^2-\left(11\right)^2}{156}$

4 lines

13.

find the value of K, If (x - 2) is a factor of $x^3+x^2\ -4\ x\ +K$

(a)

14.

Factorize using identities $4x^2+9y^2+16z^2+12xy-24yz-16xz$

a)

$\left(4x+2y-3z\right)\left(3x+4y-2z\right)$

b)

$\left(4x-y+3z\right)\left(3x+2y-4z\right)$

c)

$\left(2x+3y-4z\right)\left(2x+3y-4z\right)$

15.

Factorize using identities - $8a^3+b^3+12a^2b+6ab^2$

a)

$\left(2a+b+ab\right)\left(2a+b\right)$

b)

$\left(2a+b\right)\left(2a-b\right)\left(2a+b\right)$

c)

$\left(2a+b\right)\left(2a+b\right)\left(2a+b\right)$

16.

$x^2+\frac{1}{x^{2\ }}=102,\ then\ x-\frac{1}{x}=?$

a)

8

b)

10

c)

12

d)

13

17.

$\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)\left(x^4+y^4\right)=?$

a)

$x^{16}-y^{16}$

b)

$x^8-y^8$

c)

$x^8+y^8$

d)

$x^{16}+y^{16}$

Polynomials class IX

Total questions: 17

Worksheet time: 2hrs 32mins

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