Question

Using the polynomials Q = 3 x2 + 5 x - 2, R = 2 - x2 , and S = 2 x + 5, perform the indicated operation.

Q - [ R + S ]

Answer 1

4x^2 + 3x - 9

Explanation:

First, add together functions R(x) and S(x). Stack them vertically and combine like terms:

R(x) = 2 - x^2

S(x) = 2x + 5

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(R+S)(x) = -x^2 + 2x + 7

Now subtract the above result from Q(x):

Q(x) - (R(x) + S(x)) = 3x^2 + 5x - 2 + x^2 - 2x - 7, or 4x^2 + 3x - 9