Test: Factorisation

QUESTION: 1

Which of the following are the factors of a² + ab +bc + ca

A.
(a + b) (a + c)
B.
(a + b + c)
C.
(a + b) (b + c)
D.
(b + c) (c + a)

Solution:

QUESTION: 2

Factoring 3x²-5x+2

A.
(3x-2)(x-1)
B.
(x+2)(3x-1)
C.
(3x+2)(x-1)
D.
(x-2)(3x+1)

Solution:

3x^2-3x-2x+2
now, we take common
3x(x-1)-2(x-1)
(x-1)common and (3x-2)
(x-1)(3x-2)

QUESTION: 3

The number of zeros of x² + 4x + 2

A.
1
B.
2
C.
3
D.
none of these

Solution:

QUESTION: 4

Factorise by splitting the middle term 2x²- 11x + 12

A.
(2x+3)(x+4)
B.
(x+3)(2x-4)
C.
(x-3)(2x-4)
D.
(2x-3)(x-4)

Solution:

QUESTION: 5

The volume of cuboid is given by the expression x³+2x²-x-2. The dimension of the cuboid for x = 5 is:

A.
4×6×7
B.
2×3×4
C.
5×6×7
D.
6×7×8

Solution:

QUESTION: 6

Expansion of 2x(x + 2y) + 3x(2x - 3y) yields

A.
8x² - 5xy
B.
8x - 5y
C.
3y - 2y
D.
none of above

Solution:

QUESTION: 7

What are the two factors of quadratic polynomial x²-16x+64?

A.
(x-16) and (x-64)
B.
(x+8) and (x-8)
C.
(x+16) and (x-4)
D.
(x-8) and (x-8)

Solution:

QUESTION: 8

Factorise the quadratic polynomial by splitting the middle term:
x² + 14x + 45

A.
(x + 9) (x+5)
B.
(x - 9) (x+5)
C.
(x-9) ( x-5)
D.
(x+9) ( x-5)

Solution:

The two numbers that add up to 14, and multiply to 45 and 9 and 5.

(x+5)(x+9)

QUESTION: 9

Factorize the quadratic polynomial by splitting the middle term: y² – 4 y –21

A.
(y – 7) (y – 3)
B.
(y – 7) (y + 3)
C.
(y + 7) (y – 3)
D.
(y + 7) (y + 3)

Solution:

QUESTION: 10

What is the value of p if x-2 is a factor of x² – 6x + p ?

A.
4
B.
-4
C.
8
D.
-8

Solution:

P(x) = ×²-6×+p
p (2)= (2)²-6 (2) +p
4- 12 + p
-8 + p
p = -8

10 Questions MCQ Test HJ TEST bundle data | Test: Factorisation

Which of the following are the factors of a² + ab +bc + ca

Factoring 3x²-5x+2

The number of zeros of x² + 4x + 2

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