Question

1 Factor completely.

Answer 1

Answer:

(1)The factor of  p²+ 7p + 10 are (p+5)(p+2) .

(2)The factor of x² + 10x + 16 are (x + 8)(x + 2) .

(3)The factors of x²+7x−18 are  (x-2)(x+9) .

(4) The factors of x² -5x - 24 are( x+3)(x-8).

(5) The factors of  x²− 3x − 40 are (x-8)(x+5).

Step-by-step explanation:

(1) As given the expression.

= p²+ 7p + 10

= p² + 5p + 2p + 10

= p (p+5)+2(p+5)

= (p+5)(p+2)

Therefore the factor of  p²+ 7p + 10 are (p+5)(p+2) .

(2) As given the expression

= x² + 10x + 16

= x² + 8x + 2x + 16

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

= (x + 8)(x + 2)

Therefore the factor of x² + 10x + 16 are (x + 8)(x + 2) .

(3)As given the expression

= x² + 7x − 18

= x² +9x -2x -18

=x (x+9)-2 (x +9)

= (x-2)(x+9)

Therefore the factors of x²+7x−18 are  (x-2)(x+9) .

(4)As given the expression

= x² -5x - 24

= x²-8x +3x -24

= x (x-8)+3(x-8)

= (x+3)(x-8)

Therefore the factors of x² -5x - 24 are( x+3)(x-8).

(5) As the expression given

= x²− 3x − 40

= x² -8x + 5x - 40

= x(x-8)+ 5(x-8)

=(x-8)(x+5)

Therefore the factors of  x²− 3x − 40 are (x-8)(x+5).

Answer 2

1 Factor completely.

p2+7p+10 = (p + 5)(p + 2)

 2 Factor completely.

x2+10x+16 = (x + 4)(x + 6)

3 Factor completely.

x2+7x−18 = (x + 9)(x - 2)

 4 Factor completely.

x2−5x−24 = (x - 8)(x + 3)

 5 Factor completely.

x2−3x−40 = (x - 8)(x + 5)