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awesome10917:
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Step-by-step explanation:
Given: f(x) = x⁴ + x³ + x² - 5x - 6
Given : g(x) = x + 1
Long Division Method:
x + 1) x⁴ + x³ + x² - 5x - 6 (x³ + x - 6
x⁴ + x³
-----------------------------
x² - 5x - 6
x² + x
-----------------------------
-6x - 6
-6x - 6
-------------------------------
Verification:
Dividend = Divisor * Quotient + Remainder
= (x + 1) * (x³ + x - 6)
= x⁴ + x³ + x² + x - 6x - 6
= x⁴ + x³ + x² - 5x - 6
Hope it helps!
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