4) Divide the first polynomial by the second polynomial & find the remainder using factor theorem. a) (X - 7x + 9). (x + 1) b) (2x2 – 2x + ax - a), (X - a) c) (54mº + 18m² - 27m + 5), (m - 3) + - -
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(a) Given, P(x) = x-7x+9 and q(x)= x+1
q(x)= x+1 = 0
x= -1
The remainder when P(x) is divided by q(x) is p(-1) ( By remainder theorem)
Thus,
P(x) = x-7x+9
P(-1)= -1-7(-1)+9
P(-1)=-1+7+9
P(-1)= 15 Answer
(c) 54m³(m-3)+18m²(m-3)-27m(m-3)+5(m-3)
54m4-162m³+18m³-54m²-27m²+81m+5m-15
54m4-144m³-81m²+86m-15
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step-by- step explanation
x-7x+27m+5
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