Question

Express the product of 2x2 + 3x - 10 and x +5 in standard form.

Answer 1

The given expression :

`2x^2+3x\text{ -10 and x +5}`

set up the expressions next to each other in parenthesis:

`(x+5)(2x^2+3x-10)`

Distribute the first term in the first set of parenthesis throughout each term in the second set of parenthesis:

`(x+5)(2x^2+3x-10)=x(2x^2+3x-10)+5(2x^2+3x-10)`

Now, distribute x over 2x^2+3x-10 and 5 too

`\begin{gathered} (x+5)(2x^2+3x-10)=x(2x^2+3x-10)+5(2x^2+3x-10) \\ (x+5)(2x^2+3x-10)=2x^3+3x^2-10x+10x^2+15x-50 \\ (x+5)(2x^2+3x-10)=2x^3+13x^2+5x-50 \end{gathered}`