PLEASE HELP!! MEDAL!!
Comparing factoring steps for different leading coefficients.
Equation 1: 6x^2+10x -16=0

Equation 2: x^2 + 5/3 x - 8/3

Question

PLEASE HELP!! MEDAL!!
Comparing factoring steps for different leading coefficients.
Equation 1:  6x^2+10x -16=0

Equation 2:  x^2 + 5/3 x - 8/3

isaidavila · Answer

What do you have to do?

clamin · Answer

i have to factor those equations and after that I have to factor it again with different leading coefficient @isaidavila

anonymous · Answer

$$6x^2+16x-6x-16=2x(3x+8)-2(3x+8)=(3x+8)(2x-2)=2(3x+8)(x-1)$$

clamin · Answer

i already factored it but my question is do i just have to choose any number for different leading coefficient?

anonymous · Answer

$$ 6x^2+10x -16=0 \iff x^2+5/3-8/3=0 \iff 6(x^2+5/3-8/3)=0$$

anonymous · Answer

You can multiply or divide both side by anything but 0.  The same is true for the factored form.