Question 623972
Factor:


-12x^2 + 52x - 35


Factor a trinomial:


-(6x - 5)(2x -7)


Multiply the above using FOIL Method:

6x * 2x = 12x^2

6x * -7 = -42x

-5 * 2x = -10x

-5 * -7 = 35


12x^2 - 42x - 10x + 35

Combine like terms:

-42x - 10x = -52x


-1(12x^2 - 52x + 35)

-1 * 12x^2 = -12x^2

-1 * -52x = 52x

-1 * 35 = -35


We therefore get:


-12x^2 + 52x - 35


The Factors are:


-(6x - 5)(2x - 7)



There is another way to factor:


-12x^2 + 52x - 35

The factors are:


(-7 + 2x)(5 - 6x)


Let's check by the FOIL Method:


-7 * 5 = -35

-7 * -6x = 42x

2x * 5 = 10x

2x * -6x = -12x^2


-35 + 42x + 10 x - 12x^2


Combine like terms:

42x + 10x = 52x


-35 + 52x - 12x^2 or


-12x^2 + 52x - 35



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