On dividing 3x3-2x2+5x+5 by a polynomial p(x), the quotient and
remainder are x2-x+2 and 3 respectively. Find p(x).
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Answer:
the answer is 15 I think
by multiplying 3x3-2×2+5+5
Answered by
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Answer:
It is given that
f(x) = 3x3 - 2x2+ 5x - 5
q(x) = (x2 - x + 2)
r(x) = (-7)
According to division algorithm,
f(x) = p(x).q(x) + r(x)
⇒3x3 - 2x2 + 5x - 5 = p(x).(x2 - x + 2) + (-7)
⇒3x3 - 2x2 + 5x - 5 + 7 = p(x)(x2 - x + 2)
⇒ p(x) = 3x3−2x2+5x+2x2−x+2
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