Introduction to Polynomials: Practice 2

Section A: Core Practice

Question 1mcq

Factorise

x^{2}-16

.

A.

x(x-4)

B.

(x-4)^{2}

C.

(x+4)^{2}

D.

(x-4)(x+4)

Question 2mcq

Expand

(x+2)(x+6)

.

A.

x^{2}+8

B.

x^{2}+12x+8

C.

x^{2}+8x+12

D.

2x+8

Question 3mcq

Use the identity

(a+b)^{2}=a^{2}+2ab+b^{2}

to find

(x+4)^{2}

.

A.

x^{2}+4x+16

B.

x^{2}+8x+16

C.

x^{2}+8x+8

D.

x^{2}-8x+16

Question 4mcq

Which value of

x

is not allowed in the rational expression

\frac{1}{x-5}

?

A.

5

B.

0

C.

-5

D.

6

Question 5mcq

What is the value of

2x^{2}-3x+1

when

x=2

?

A.

5

B.

-1

C.

15

D.

3

Section B: Application Practice

Question 6mcq

The equations

x+y=8

and

x-y=2

are solved together. What is the value of

x

?

A.

6

B.

3

C.

5

D.

4

Question 7mcq

Which ordered pair satisfies the equation

2x+y=9

?

A.

(2,4)

B.

(3,3)

C.

(5,1)

D.

(1,5)

Question 8mcq

Use the identity

(a+b)^{2}=a^{2}+2ab+b^{2}

to find

(x+3)^{2}

.

A.

x^{2}+6x+9

B.

x^{2}+3x+9

C.

x^{2}+6x+6

D.

x^{2}-6x+9

Question 9mcq

Which value of

x

is not allowed in the rational expression

\frac{1}{x-5}

?

A.

6

B.

0

C.

-5

D.

5

Question 10mcq

Which expression is a linear polynomial?

A.

\frac{1}{x}

B.

x^{2}+1

C.

4x-9

D.

3x^{3}