Math  /  Algebra

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Use synthetic division to find the result when 4x4+17x3+9x216x+44 x^{4}+17 x^{3}+9 x^{2}-16 x+4 is divided by x+2x+2.

Studdy Solution
Interpret the result of the synthetic division:
- The bottom row now reads: 4,9,9,2,0 4, 9, -9, 2, 0 . - These numbers represent the coefficients of the quotient polynomial and the remainder. - The quotient is 4x3+9x29x+2 4x^3 + 9x^2 - 9x + 2 . - The remainder is 0, indicating that x+2 x + 2 divides the polynomial evenly.
The result of the division is:
4x3+9x29x+2 4x^3 + 9x^2 - 9x + 2

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