Divide 3x2 x3 3x 5 by x 1 x2
Asked by admin @ in Math viewed by 318 People
Divide 3x2 ‒ x3 ‒ 3x + 5 by x ‒ 1 ‒ x2 and verify the division algorithm.
Answered by admin @
Step-by-step explanation:
Let f(x) = 3x² - x³ - 3x + 5 and g(x) = x - 1 - x²
Long Division Method:
-x² + x - 1) -x³ + 3x² - 3x + 5(x - 2
-x³ + x² - x
-------------------------
2x² - 2x + 5
2x² - 2x + 2
----------------------
3
Verification:
Dividend = Divisor * Quotient + Remainder
= (-x² + x - 1) - (x - 2) + 3
= -x³ + x² - x + 2x² - 2x + 2 + 3
= 3x² - x³ - 3x + 5
Hope it helps!
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