Two mark example problems - III — task. Mathematics State Board, Class 9.

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1. If \(p(x) = 4x^2 - 3x + 2x^3 + 5\) and \(q(x) = x^2 + 2x + 4\), then find \(p(x) + q(x)\).

Answer:

\(p(x) + q(x) =\)

i x^{3} + i x^{2} - i + i

(Note: Insert the suitable coefficients, variables and constant.)

2. If \(p(x) = 4x^2 - 3x + 2x^3 + 5\) and \(q(x) = x^2 + 2x + 4\), then find \(p(x) - q(x)\).

Answer:

\(p(x) - q(x) =\)

i x^{3} + i x^{2} - i x + i

(Note: Insert the coefficients and constant.)

3. Find the product of \((4x - 5)\) and \((2x^2 + 3x - 6)\).

Answer:

Product \(=\)

i x^{3} + i x^{2} - i x + i

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5. Two mark example problems - III