How do you simplify the product (2x - 5)(x + 4) and write it in standard form?

2 Answers

2x^2 + 3x - 20

Explanation:

(2x - 5 ) ( x + 4 )

2x xx x = 2x^2

2x xx 4 = 8x

-5 xx x = -5x

-5 xx 4 = -20

8x - 5x = 3x

The answer is 2x^2 + 3x - 20

Mar 31, 2017

(2x-5)(x+4)=color(blue)(2x^2+3x-20)

Explanation:

Expand:

(2x-5)(x+4)

When multiplying two binomials, use the FOIL method as shown below. Then combine like terms and simplify, which will result in the standard form for a quadratic equation, ax^2+bx+c.

http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.htmlhttp://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.html

(2x-5)(x+4), where ax=2x, b=-5, cx=x, d=4.

Carry out the FOIL method for two multiplying binomials.

(2x-5)(x+4)=2x*x+2x*4+(-5)*x+(-5*4)

(2x-5)(x+4)=2x^2+8x-5x-20

Combine like terms.

(2x-5)(x+4)=2x^2+8x-5x-20

Simplify.

(2x-5)(x+4)=color(blue)(2x^2+3x-20)lArr standard form