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B
4x4−9x3+2x2+20x−5
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C
4x4+9x3+2x2+20x−5
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D
4x4−9x3−2x2+20x−5
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Solution
The correct option is D4x4−9x3+2x2+20x−5 Required product is (x3−2x2+5)×(4x−1)
Multiplying the two polynomials, we get: (x3−2x2+5)×(4x)−(x3−2x2+5)×(1) =4x4−8x3+20x−x3+2x2−5 =4x4−9x3+2x2+20x−5 Hence, (x3−2x2+5)×(4x−1)=4x4−9x3+2x2+20x−5.