Addition and Subtraction of Polynomials

Addition and Subtraction of Polynomials

IP 3

If \(P(x)={{x}^{4}}+3{{x}^{2}}-2x+5\),and \(Q(x)=x+2\), find an expression for

  1. \(P(x)+Q(x)\), and
  2. \(P(x)-Q(x)\).

State the degree of each expression.

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Answer:(a) \(x^4+3x^2-x+7\), degree \(4\) (b) \(x^4+3x^2-3x+3\), degree \(4\)

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