Question

Find the sum of (3x2 + 18x – 7) and (-13x2 + 7x – 11)A –13x3 + 3x2 + 25x – 18B –13x3 + 10x2 + 7x – 7C-13x3 + 10x2 + 18x – 18D -10x2 + 25x – 18

Answer 1

The correct option is D, the sum of the given polynomials is

`-10x^2+25x-18`

Step-by-step explanation:

To find the sum of:

`3x^2+18x-7`

and

`-13x^2+7x-11`

We write:

`\begin{gathered} (3x^2+18x-7)+(-13x^2+7x-11) \\ =3x^2+18x-7-13x^2+7x-11 \end{gathered}`

Collect like terms:

`\begin{gathered} 3x^2-13x^2+18x+7x-7-11 \\ =-10x^2+25x-18 \end{gathered}`