Math  /  Algebra

QuestionQuestion Watch Video Show Examples Use synthetic division to find the result when 4x4+11x3+17x2+x94 x^{4}+11 x^{3}+17 x^{2}+x-9 is divided by x+1x+1.

Studdy Solution
Interpret the result:
The result of the synthetic division is the polynomial formed by the coefficients below the line: 4,7,10,9 4, 7, 10, -9 .
This corresponds to the polynomial:
4x3+7x2+10x9 4x^3 + 7x^2 + 10x - 9
Since the remainder is 00, the division is exact.
The quotient of the division is:
4x3+7x2+10x9 \boxed{4x^3 + 7x^2 + 10x - 9}

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