Question

Subtract 3x^2+ 7x – 4 from 8x^2-6x+2 Your answer should be a polynomial in standard form.

Answer 1

$\begin{gathered} 3x^2+7x-4 \\ 8x^2-6x+2 \end{gathered}$

In subtraction the term that comes after the word "from" should be the first

Then we will write the 2nd expression first

$8x^2-6x+2-(3x^2+7x-4)$

Now we will multiply (-) by the terms in the bracket

$8x^2-6x+2-3x^2-7x+4$

Add the like terms

$(8x^22-3x^2)+(-6x-7x)+(2+4)=5x^2+(-13x)+6$

Multiply the signs of the middle term

$5x^2-13x+6$

The answer is 5x^2 - 13x + 6