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Question

2x² + 2x - 12


6x² + 54x +120


x² - 12x + 20


6n² - 30n - 216


p² + 9p - 10


5x² + 65x +150


x² + 10x +16


b² + b - 72


k² + 7k - 18


6x² - 66x + 180

Answer 1

6x² + 54x + 120

6x² + 24x + 30x + 120

Take out common term 6x and Take out common term 30

6x(x + 4) + 30(x + 4)

Take out common term x+ 4

(x + 4)(6x + 30)

Take out common term 6 in the expression

(x + 4)6(x + 5)

6(x + 4)(x + 5).

Answer 2

2x² + 2x - 12

2x² + 6x - 4x - 12

Take out common term 2x and -4 in the expression

2x(x + 3) - 4(x + 3)

Take out common term x + 3 in the expression

(x + 3)(2x - 4)

Take out common term 2 in the expression

(x + 3)2(x - 2)

Recall : Commutative property of multiplication a*b = b*a

2(x + 3)(x - 2).

Answer 3

x² - 12x + 20

x² - 2x - 10x + 20

Take out common term x and -10 in the expression

x(x - 2) - 10(x - 2)

Take out common term x - 2 in the expression

(x - 2)(x - 10).

Answer 4

6n² - 30n - 216

Take out common term 6 in the above expression

6(n² - 5n - 36)

6(n² - 9n + 4n - 36)

Take out common term n and 4 in the expression

6[ n(n - 9) + 4(n - 9) ]

Take out common term n - 9 in the expression

6[ (n - 9)(n + 4) ]

6(n - 9)(n + 4).

Answer 5

p² + 9p - 10

p² + 10p - p - 10

Take out common term p and neitive one in the above expression

p(p + 10) - 1(p + 10)

Take out common term p + 10 in the expression

(p + 10)(p - 1)

Recall :Commutative property of multiplication a * b = b * a

There fore (p - 1)(p + 10).

Answer 6

5x² + 65x + 150

5x² + 50x + 15x + 150

Take out  common term 5x and 15 in the expression

5x(x + 10) + 15(x + 10)

Take out common term x + 10

There fore (x + 10)(5x + 15)

Take out common term 5 in the expression

(x + 10)(5)(x + 3)

Recall : Commutative property of multiplication a * b = b * a

5(x + 10)(x + 3).

Answer 7

b² + b - 72

b² + 9b - 8b - 72

Take out common term b and -8

b(b + 9) -8(b + 9)

Take out common term b + 9

(b + 9)(b - 8)

Recall :commutative property of multiplication a * b = b * a

There fore  The factorization : (b - 8)(b + 9).

Answer 8

x² + 10x + 16

x² + 8x + 2x + 16

Take out common term x and 2 in the expression

x(x + 8) + 2(x + 8)

Take out common term x + 8 in the expression

(x + 8)(x + 2)

Recall : commutative property of multiplication a * b = b * a

 There fore The factor :(x + 2)(x + 8).

Answer 9

k² + 7k - 18

k² + 9k - 2k - 18

Take out common term k and -2 in the expression

k(k + 9) -2(k + 9)

Take out common term k + 9

There fore (k + 9)(k - 2)

Recall : commutative  property of  multiplication a * b = b * a

(k - 2)(k + 9)

The factorization : (k - 2)(k + 9).

Answer 10

6x² - 66x + 180

6x² -30x - 36x + 180

Take out common term 6x and  -36

6x(x - 5) -36(x - 5)

Take out common term x - 5 in the expression :6x(x - 5) -36(x - 5)

There fore (x - 5)(6x - 36)

Take out common term 6 in the expression :(x - 5)(6x - 36)

(x -5)6(x - 6)

Recall :Commutative property of multiplication a * b = b * a

6(x - 5)(x - 6)

The factorization : 6(x - 5)(x - 6).