Q. 8 A4.0( 15 Votes )

Multiply the following polynomials.

(m3 – 2m + 3) (m4 -2m2 + 3m + 2)

Answer :

The multiplication is as follows:

= (m3 – 2m + 3) × (m4 -2m2 + 3m + 2)


= m× m4 - 2m× m3 + 3m × m3 + 2 × m3 - 2m × m4 + 4m× m – 3 × 2m - 4m + 3m4 – 6m2 + 6m + 12


= m7 – 2m5 + 3m4 + 2m3 – 2m5 + 4m3 – 6m - 4m + 3m4 - 6m2 + 6m + 12


= m7 - 4m5 + 6m4 + 6m3 – 16m + 12


The product = m7 - 4m5 + 6m4 + 6m3 – 16m + 12

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