Mathematical Methods · Unit 1 · Binomial expansion and cubic functions · Cubic functions
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Consider the polynomial function \( p(x) = 3x^5 - 2x^4 + 7x^2 - 5x + 9 \). (a) Identify the degree of the polynomial \( p(x) \). (1 mark) (b) State the leading coefficient of \( p(x) \). (1 mark) (c) Identify the coefficient of the \( x^3 \) term. (1 mark) (d) Evaluate \( p(2) \). (1 mark)
Consider the polynomial \(P(x) = 5x^4 - 3x^3 + 7x - 2\). (a) State the degree of \(P(x)\). (1 mark) (b) Identify all coefficients of \(P(x)\) in descending order of power. (1 mark) (c) State the coefficient of the linear term. (1 mark)
Consider the polynomial \(P(x) = 5x^4 - 3x^3 + 7x - 2\). (a) State the degree of the polynomial. (1 mark) (b) Identify the coefficient of \(x^3\). (1 mark) (c) Write down the coefficient of \(x^2\). (1 mark)