Question

Which expression is equivalent to the given expression?

-2x² + 8x 9 + 4x + 7x² + 2
A. -9x²
OB.
c.
-
D.
12x + 11
-5x² + 4x + 11
-9x² + 4x - 7
5x² + 12x - 7

Answer 1

`5x^(2) +12x-7`

Explanation:

• first, we need to simplify the expression:
  `-2x^(2) +8x-9+4x+7x^(2) +2`

• we know that
  `-2x^(2)` and
  `7x^(2)` have the same exponent (
  `x^(2)`) so we can combine them
• 
  `-2x^(2) +7x^(2) =5x^(2)`
• now we have left is
  `+8x-9+4x+2`
• we also see that 8x and 4x have the same exponent (x). now we combine them
• 8x+4x=12x
• now we have left is -9+2
• -9 and 2 can be combined together
• -9+2=-7
• now we put each exponent in order (x^power biggest to least)(ex;
  `x^(6)x^(5) x^(3)`) then just x then numbers without x
• it should be
• 
  `5x^(2) +12x-7`