Question

What is the product of x-4 and 5x^2-3x+6? Write your answer in standard form.

Answer 1

`\large\boxed{(x-4)(5x^2-3x+6)=5x^3-23x^2+18x-24}`

Explanation:

`\text{Use FOIL}\qquad(a+b)(c+d)=ac+ad+bc+bd\\-----------------------------\\\\(x-4)(5x^2-3x+6)\\\\=(x)(5x^2)+(x)(-3x)+(x)(6)+(-4)(5x^2)+(-4)(-3x)+(-4)(6)\\\\=5x^3-3x^2+6x-20x^2+12x-24\\\\\text{combine like terms}\\\\=5x^3+(-3x^2-20x^2)+(6x+12x)-24\\\\=5x^3-23x^2+18x-24`