What is the remainder?

Algebra Level 2

What is the remainder if 8 x 2 − 4 x + 2 8x^2 -4x + 2 is divided by x − 3 x - 3 ?


The answer is 62.

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2 solutions

Remainder Theorem

f(x) = 8 x 2 − 4 x + 2 8x^2 - 4x +2

f(3) = 8 ∗ 3 2 − 4 ∗ 3 + 2 8*3^2 - 4*3 + 2

f(3) = 62

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Vinay Somasundar
Sep 17, 2016

8 x 2 − 4 x + 2 8x^2 - 4x + 2

= 8 x 2 − 24 x + 20 x − 60 + 62 8x^2 - 24x + 20x - 60 + 62

= 8 x ( x − 3 ) + 20 ( x − 3 ) + 62 8x(x-3) + 20(x-3) + 62

= ( 8 x + 20 ) ( x − 3 ) + 62 (8x+20)(x-3) + 62

When this is divided by 2, the remainder is 62 \boxed{62}

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Exact same thinking

Noel Lo - 3 years, 11 months ago

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