what is 12x^4+10x^3-12x^2 factored

Question

12x⁴+10x³-12x²

Answer 1

12x⁴+10x³-12x²  First, let see if the terms all have a common factor.  All three have 2x² as a factor.

 

2x²(6x²+5x-6)          2x²×6x²=12x⁴ ; 2x²×5x=10x³ ; 2x²×-6=-12x² 

remember, when multiplying terms with exponents, you add the exponent values together

 

2x²(6x²+5x-6)

2x²(3x-2)(2x+3)

 

Lets FOIL to check & combine like terms:

F: 3x(2x) = 6x²                     6x²+9x-4x-6

O: 3x(3) = 9x                        6x²+5x-6

I: 2x(-2) = -4x

L: 3(-2) = -6

 

Since our check proved correct, your final answer will be 2x²(3x-2)(2x+3)

 

Answer 2

Hi Katy,

 

12x⁴+10x³-12x²

taking out common factor 2x², we get,

2x²( 6x²+5x-6)

=2x² {6x²+9x-4x-6}

=2x² {3x(2x+3)-2(2x+3)}

=2x² (2x+3)(3x-2)

 

Ans: 2x²(2x+3)(3x-2)

 

Meena from Strongsville,OH

 

Answer 3

12x⁴ + 10x³ - 12x²

 

First, factor out the common factor 2x²:

 

2x²(6x² + 5x - 6)

 

Next, factor the quadratic in parentheses:

 

2x²(3x-2)(2x+3)