Factoring the following trinomials x23x4 2x2x6 4x29x9 3x2x2

Factoring the following trinomials: x^2+3x-4 2x^2-x-6 4x^2-9x-9 3x^2+x-2 3x^2-5x+1 6x^2-6x-36 4x^2-12x-7 5x^2-23x-7

Solution

1.    x²+3x-4=x²+4x-x-4=x(x+4)-1(x+4)=(x+4)(x-1)   [answer]

2.    2x²-x-6=2x²-4x+3x-6=2x(x-2)+3(x-2)=(x-2)(2x+3) [answer]

3.    4x²-9x-9=4x²-12x+3x-9=4x(x-3)+3(x-3)=(x-3)(4x+3)   [answer]

4.     3x²+x-2=3x²+3x-2x-2=3x(x+1)-2(x+1)=(x+1)(3x-2)     [answer]

6.    6x²-6x-36=6(x²-x-6)=6[x²-3x+2x-6]=6[x(x-3)+2(x-3)]=6(x-3)(x+2)    [answer]

7.    4x²-12x-7=4x²-14x+2x-7=2x(2x-7)+1(2x-7)=(2x-7)(2x+1)    [answer]

8. 5x²-23x-10=5x²-25x+2x-10=5x(x-5)+2(x-5)=(x-5)(5x+2)   [answer]