Question

What is the sum of P(x) and Q(x) if P(x) = 4x2 + 6x - 9 and Q(x) = -7x2 - 12x + 8?

Answer 1

from the question;

we are given

`\begin{gathered} P(x)=4x^2\text{ + 6x - 9} \\ Q(x)=-7x^2\text{ - 12x + 8} \end{gathered}`

we are to find the sum of P(x) and Q(x), that is

`\begin{gathered} P(x)\text{ + Q(x)} \\ =4x^2+6x-9+(-7x^2\text{ -12x +8)} \\ =4x^2\text{ + 6x - 9 -7x}^2\text{ -12x + 8} \\ =\text{ }4x^2-7x^2\text{ + 6x - 12x - 9 + 8 } \\ =-3x^2\text{ -6x - 1} \end{gathered}`

Therefore, the sum of P(x) + Q(x) is

`-3x^2\text{ -6x - 1}`