Free Printable POLYNOMIALS

1.

The expression
$\left(a-b\right)^3\ +\left(b-c\right)^3\ +\left(c-a\right)^3$ can be factorized as

a)

a) $\left(a-b\right)\left(b-c\right)\left(a-c\right)$

b)

b) $3\left(a-b\right)\left(b-c\right)\left(c-a\right)$

c)

c) $-3\left(a-b\right)\left(b-c\right)\left(c-a\right)$

d)

d) $\left(a+b+c\right)\left(a^2\ +b^2+c^2-ab-bc-ca\right)$

2.

if $x^2\ -1\$ is a factor of $ax^4\ +\ bx^3\ +cx^2+dx\ +e$ then,

a)

a) $a+c+e=b+d$

b)

b) $a+b+e\ =c+d$

c)

c) $a+b+c=d+e$

d)

d) $b+c+d\ =a+e$

3.

If $x^3\ +6x^2\ +4x\ +k\$ is exactly divisible by $x+2$ then k=

a)

a) -6

b)

b) -7

c)

c) -8

d)

d) -10

4.

If $x+2$ and $x-1$ are factors of $x^3\ +10x^2\ +mx\ +\ n$ then the values of 'm' and 'n' are

a)

a) 5 and -3

b)

b) 17 and -8

c)

c) 7 and -18

d)

d) 23 and -19

5.

One factor of $x^4+\ x^2\ -20$ is $x^2+\ 5$ . the other factor is ___.

a)

a) $x^2\ -4$

b)

b) $x-4$

c)

c) $x^2-5$

d)

d) $x+2$

6.

$\ 249^2\ -248^2\ =\$

a)

a) $1^2$

b)

b) 477

c)

c) 487

d)

d) 497

7.

Which of the following is a factor of $\left(x+y\right)^3\ -\ \left(\ x^3\ +\ y^3\right)\ \$ ?

a)

a) $x^2\ +xy\ +2xy$

b)

b) $x^2\ +y^2\ -xy$

c)

c) $xy^2$

d)

d) $3xy$

8.

If $\frac{x}{y}\ +\ \frac{y}{x}\ =-1\ \left(x,y\ne0\right)$ then value of $x^3\ -y^3$ is___

a)

a) 1

b)

b) -1

c)

c) 0

d)

d) $\frac{1}{2}$

9.

The zeros of the polynomial $5x\left(x+2\right)\left(x-3\right)$ are ___

a)

a) -2,0,3,5

b)

b) -2,3

c)

c) 5,-2,3

d)

d) 0,-2,3

POLYNOMIALS

Total questions: 9

Worksheet time: 5mins

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