Question

Plz answer my question....
Correct answer will surely be marked as brainliest ....

Answer 1

1)x^2+12x+36

x^2+6x+6x+36

x(x+6)+6(x+6)

(x+6)(x+6)

x=-6,-6

2)x^2-8x+16

x^2-4x-4x+16

x(x-4)-4(x-4)

(x-4)(x-4)

x=4,4

3)x^2+6x+8

x^2+4x+2x+8

x(x+4)+2(x+4)

(x+2)(x+4)

x=-4,-2

4)x^2-5x-24

x^2-8x+3x-24

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

(x+3)(x-8)

x=-3,8

Answer 2

a) x^2 + 12x + 36

=> x^2 + 6x + 6x + 36

=> x(x + 6) + 6(x + 6)

=> (x + 6)(x + 6)

=> (x + 6)^2

b) x^2 - 8x + 16

=> x^2 - 4x - 4x + 16

=> x(x - 4) - 4(x - 4)

=> (x - 4)(x - 4)

=> (x - 4)^2

c) x^2 + 6 + 8

=> x^2 + 2x + 4x + 8

=> x(x + 2) + 4(x + 2)

=> (x + 2)(x + 4)

d) x^2 - 5x - 24

=> x^2 + 3x - 8x - 24

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

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

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