macpiper85 macpiper85

25-08-2021
Mathematics

contestada

Find the Quotient and Remainder. 5x^3 - 6x^2 + x + 7 divided by x^2

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nirmalaramdam nirmalaramdam

25-08-2021

Step-by-step explanation:

Solution

According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)

f(x)=5x3+2x2−6x+12

f(−2)=5(−2)3+2(−2)2−6(−2)+12

=5×−8+2×4+12+12

=−40+32=−8

∴ Remainder=−8

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