What is the standard form of y=(x+4)(2x3)3x2?

1 Answer
Dec 5, 2015

The standard form is y=x2+5x12.

Explanation:

y=(x+4)(2x3)3x2

The standard form for a quadratic equation is ax2+bx+c, where a,b,andc are coefficients.

First Foil the two binomials.

![http://hubpages.com/education/Using-the-FOIL-Method-to-Expand-Products](useruploads.socratic.org)

(x+4)(2x3)

a=x,b=4,c=2x,d=3

(x+4)(2x3)=ac+ad+bc+bd

(x+4)(2x3)=(x2x)+(x3)+(42x)+(43)

(x+4)(2x3)=(2x2)+(3x)+(8x)+(12)

Combine like terms.

(x+4)(2x3)=2x2+5x12

Return to original equation, keeping the foiled results.

y=2x2+5x123x2

Combine like terms.

y=2x23x2+5x12

y=x2+5x12