Question 111985

Question 111985

If \(P(x)=3{{x}^{3}}+11{{x}^{2}}-4x+5\)and \(Q(x)=x+7\), find

  1. \(P(x)\times Q(x)\),
  2. \(P(2)\times Q(2)\),
  3. the relationship between the degrees of \(P(x),Q(x)\) and \(P(x)\times Q(x)\)

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Answer:(i) \(3x^4 + 32x^3 + 73x^2 - 23x + 35\); (ii) \(585\); (iii) Degree of \(P(x)\) + Degree of \(Q(x)\) = Degree of \(P(x) \times Q(x)\)

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