JAMB 2017 · UTME (set 2) · Q37

Polynomials & algebraic division

What is the product of $2x^2 - x + 1$ and $3 - 2x$ ?

Worked solution (try it first)

Multiply each term of $2x^2 - x + 1$ by 3: $6x^2 - 3x + 3$ .
Multiply each term by $-2x$ : $-4x^3 + 2x^2 - 2x$ .
Add and collect like terms: $-4x^3 + 8x^2 - 5x + 3$ , option B.

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