Polynomials Practice 1: Basics and Zeros

Section A: Concept Check

Question 1mcq

What is the degree of

7x^2-3x+9

?

A.

2

B.

1

C.

3

D.

9

Question 2mcq

Which expression is a quadratic polynomial?

A.

5x+1

B.

7

C.

3x^2+2x-1

D.

x^3-1

Question 3mcq

What does it mean if

2

is a zero of

p(x)

?

A.

p(0)=2

B.

p(2)=2

C.

p(x)=2

for all

x

D.

p(2)=0

Question 4mcq

Find the zero of

p(x)=3x-12

.

A.

4

B.

-4

C.

12

D.

\fracrac{1}{4}

Question 5mcq

A taxi fare model is

p(x)=15x-120

, where

p(x)=0

represents break-even trips. What is the zero?

A.

-8

B.

15

C.

8

D.

120

Section B: Apply and Factorise

Question 6mcq

Find the zeros of

x^2-5x+6

.

A.

-2

and

-3

B.

2

and

3

C.

1

and

6

D.

-1

and

-6

Question 7mcq

Find the zeros of

2x^2-7x+3

.

A.

\fracrac{1}{2}

and

3

B.

-\fracrac{1}{2}

and

-3

C.

1

and

\fracrac{3}{2}

D.

2

and

3

Question 8mcq

If the table shows

p(0)=5

,

p(1)=2

,

p(2)=0

,

p(3)=-4

, which input is a zero?

A.

0

B.

2

C.

1

D.

3

Question 9mcq

A student factors

x^2+x-12

as

(x+3)(x+4)

. What is the error?

A.There is no error.

B.The factors should be linear and constant only.

C.The product is

+12

, but the middle term would be

7x

, not

x

.

D.The polynomial has no zeros.

Question 10mcq

Which option is NOT a polynomial in one variable?

A.

x^2-4x+1

B.

7x^3

C.

5

D.

x+\fracrac{1}{x}