Q8 of 84 Page 55

Multiply the following polynomials.

(m3 – 2m + 3) (m4 -2m2 + 3m + 2)

The multiplication is as follows:

= (m3 – 2m + 3) × (m4 -2m2 + 3m + 2)


= m3.m4 -2m2.m3 + 3m.m3 + 2.m3 -2m.m4 + 4m2.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 is = m7 - 4m5 + 6m4 + 6m3 – 16m + 12


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