Question

Please answer numbers 32 and 33! Please show work and explain your answer!

Answer 1

12.
Add like terms from both trinomials:

$4x^{2} + -2x^{2} = 2x^{2}$
$2x + -5x = -3x$
$-1 + 3 = 2$

Combine these terms to get a new trinomial as your answer:

$2x^{2} - 3x + 2$


13. 
Subtract like terms from both trinomials (note that subtracting a negative is the same as adding it as a positive):

$3x^{2} - 5x^{2} = -2x^{2}$
$-8x - -11x = -8x + 11x = 3x$
$-1 - -1 = -1 + 1 = 0$

0 can be left out of the answer.

Combine these terms to get a binomial as your answer:

$-2x^{2} + 3x$