Question

What is the equivalent factored form of 12x4 – 42x3 – 90x2?

Answer 1

Answer:

The factored form is $6x^2(2x +3)(x-5)$

Step-by-step explanation:

We need to write the equivalent factored form of given expression

Given expression is $12x^{4}-42x^{3}-90x^{2}$

$12x^{4}-42x^{3}-90x^{2}$

Re-write the above expression as,

$6x^2(2x^2 - 7x - 15)$                  ......(1)    

Now, Factor the $2x^2 - 7x - 15$

$2x^2 +3x-10x - 15$

$x(2x +3)-5(2x+3)$

Take out the common term,

$(2x +3)(x-5)$

Now, put this equation (1)

$6x^2(2x +3)(x-5)$

Therefore,the factored form is $6x^2(2x +3)(x-5)$

Answer 2

12x^4 - 42x^3 - 90x^2 =
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==