Quiz about Factorize Algebraic Expressions

Question 1

Factorize 3x+18.

Accepted Answer

3(x+6)

Answer

3(x+18)

Answer

3(x-6)

Answer

3x(x+6)

Question 2

Factor the expression using the GCF:
24k + 32

Accepted Answer

8(3k + 4)

Answer

2(12k + 16)

Answer

24k + 32

Answer

8(3k + 5)

Question 3

Factorize:

8m + 32m²n.

Accepted Answer

8m(1+4mn)

Answer

8(m+4m2n)

Answer

8m(1+n)

Answer

4m(2+8mn)

Question 4

Factor:

15x⁴ + 20x³ - 25x

Accepted Answer

5x (3x³ + 4x² - 5)

Answer

5x² (3x² + 4x - 5)

Answer

5x (3x³ + 4x² - 5x)

Answer

5 (3x⁴ + 4x³ - 5x)

Question 5

Factor 6xy + 12y + 3

Accepted Answer

3(2xy + 4y + 1)

Answer

x(6y + 12y + 3)

Answer

6(xy + 2y + 3)

Question 6

Factorise these
4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b²(b⁴-b²-4^b)

Answer

4b²(b⁴+4b+5)

Answer

4b²(b⁵+b³+4b²)

Question 7

Factorise the following algebraic expressions by using regrouping.

$$2x+mx+m+2$$

Accepted Answer

$$\left(x+1\right)\left(2+m\right)$$

Answer

$$\left(x+2\right)\left(2+2m\right)$$

Answer

$$\left(x-1\right)\left(1+m\right)$$

Answer

$$\left(x-3\right)\left(3+m\right)$$

Question 8

Factorise the following algebraic expressions by using regrouping.

$$2a-2m+ax-mx$$

Accepted Answer

$$\left(a-m\right)\left(2+x\right)$$

Answer

$$\left(a+2m\right)\left(1+3x\right)$$

Answer

$$\left(2a-m\right)\left(3+x\right)$$

Answer

$$\left(5a-2m\right)\left(1+3x\right)$$

Question 9

Difference of squares
Factor x²-16

Accepted Answer

(x-4)(x+4)

Answer

(x-4)(x-4)

Answer

(x+4)(x+4)

Answer

(x+4){x-(-4)}

Factorize Algebraic Expressions

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