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Q 14 Factorization

Total questions: 13

Worksheet time: 9mins

Name
Class
Date
1.

The simplest form of ac + ad + bc + bd is

a)

(a + c)(b + b)

b)

ab(c + d)

c)

bc(c + d)

d)

(a + b)(c + d)

2.

The factors of 4a² - 16 are

a)

4(a-2)(a-2)

b)

4(a-2)(a + 2)

c)

(a-2)(a + 2)

d)

4(a + 2)(a + 2)

3.

When 9x² - 6x + 2 is divided by x -3, the remainder will be

a)

60

b)

15 ⁄ 2

c)

65

d)

19 ⁄ 5

4.

If a polynomial p(x) is divided by a linear divisor (x-a), then the remainder is

a)

p(a)

b)

p(1)

c)

p(0)

d)

p(x)

5.

When 3x³ - 10x² + 13x - 6 is divided by x-2, the remainder will be

a)

5

b)

0

c)

3

d)

4

6.

The process of expressing an algebraic expression in terms of its factors is called

a)

equation

b)

rational number

c)

factorization

d)

sentence

7.

If a polynomial is expressed as a product of other polynomials, then each polynomial in the product is said to be

a)

a surd of original polynomial

b)

a factor of original polynomial

c)

inverse of each other

d)

coefficient of each other

8.

The factors of pqr + qr² - pr² - r³ should be

a)

(p + r)(q - r)

b)

(p - r)(q + r)

c)

r(p + r)(q - r)

d)

p(q + r)(q - r)

9.

If (x-1) is a factor of x³ -kx² + 11x -6, then the value of k should be

a)

1

b)

-6

c)

6

d)

5

10.

The factors of ab + ac are

a)

a(b + c)

b)

(a + b)(a + c)

c)

(a + c)(a + b)

d)

(a + b)c

11.

The factors of x4 - 16 are

a)

(x-2)(x + 2)(x² + 4)

b)

(x + 2)(x² + 4)

c)

(x-2)(x² + 4)

d)

(x-4)(x + 4)(x² + 4)

12.

If a specific number x = a is substituted for the variable x in a polynomial, so that the value is zero, then x = a is said to be

a)

zero of the polynomial

b)

zero coefficient

c)

conjugate surd

d)

rational number

13.

(3x + 4y)(9x² −12xy + 16y²) is equal to

a)

27x³ + 64y³

b)

27x³ - 64y³

c)

64x³ + 27y³

d)

64x³ - 27y³