Question

How do you express the product of `2x^2+7x-10` and `x+5` in standard form?

Answer 1

`2x^3+17x^2+4x-50`

Explanation:

Consider as: `color(blue)((x+5)color(green)((2x^2+7x-10))`

Multiply everything in the right bracket by everything in the left.

`color(green)( color(blue)(x)(2x^2+7x-10)" "color(blue)(+" "5)(2x^2+7x-10) )`

`2x^3+7x^2-10x" "+" "10x^2+14x-50`

`" "2x^3+17x^2+4x-50`

The standard form is decreasing powers of `x` reading left to right.