Using remainder theorem, find the remainder on dividing f(x) by (x+3) where
f(x)=2x2−5x+1
ML Aggarwal Avichal Publication Factorisation chapter 6 Question no 2(i)
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Using remainder theorem, find the remainder on dividing f(x) by (x+3) where f(x)=2x 2 −5x+1
Using remainder theorem, find the remainder on dividing f(x) by (x+3) where
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We know that the remainder theorem states that if a polynomial f(x) is divided by (x−a), the remainder is f(a).
Here, we have the polynomial f(x)=2×2−5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder is:
R=f(−3)=2(−3)2−5(−3)+1
=(2×9)+15+1
=18+15+1
=34
Hence, the remainder is 34.