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Question

Using Division Algorithm, match the following polynomials with their respective q(x) when divided by x.

A
5x
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B
2x + 1
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C
3x + 2
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D
2x2 + 3
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Solution

Factor of a polynomial divides the polynomial completely, i.e., remainder = 0

Dividend = Divisor × Quotient + Remainder

By division algorithm,

5x2 = x × 5x + 0

2x2 + x = x × (2x + 1) + 0

3x2 + 2x = x × (3x + 2) + 0

2x3 + 3x = x × (2x2 + 3) + 0

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