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Answer:
(a) x^4 -3x^3 +x^2 -4
Explanation:
Fill in the given expressions and simplify.
P(x) = R(x) -C(x)
P(x) = (2x^4 -3x^3 +2x -1) -(x^4 -x^2 +2x +3) . . . . use given R(x), C(x)
P(x) = 2x^4 -3x^3 +2x -1 -x^4 +x^2 -2x -3 . . . . eliminate parentheses
P(x) = (2 -1)x^4 +(-3)x^3 +(1)x^2 +(2 -2)x +(-1 -3) . . . . collect terms
P(x) = x^4 -3x^3 +x^2 -4 . . . . simplify