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Question

(4x4 + 10x3 - 3x2 + 2x - 21) ÷ (x + 3)

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Solution

Dividend=4x4+10x3-3x2+2x-21Index form=4x4+10x3-3x2+2x-21Coefficient form=4, 10, -3, 2, -21Comparing the divisor x+3 with x-a, we get a=-3



Quotient in coefficient form=4, -2, 3, -7i.e., quotient =4x3-2x2+3x-7 in the variable xHere, the remainder is 0 zero.x+3 is a factor of 4x4+10x3-3x2+2x-21.

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