find the quotient and remainder when polynomial p(x) = (2x^4 - 3x^3 + 5x^2 + 4x - 18) is divided by q(x) = (x^2-2)
Answers
Answer:
My best answer is, quotient = 2x² - 3x + 9 &
remainder = -2x .I hope it will help you.
Given :- find the quotient and remainder when polynomial p(x) = (2x^4 - 3x^3 + 5x^2 + 4x - 18) is divided by q(x) = (x^2-2) ?
Solution :-
dividing p(x) by q(x) we get,
x² - 2 ) 2x^4 - 3x^3 + 5x^2 + 4x - 18 ( 2x² - 3x + 9
2x⁴ - 4x²
- 3x³ + 9x² + 4x
- 3x³ + 6x
9x² - 2x - 18
9x² - - 18
(-2x)
then, we get,
→ Quotient = 2x² - 3x + 9
→ Remainder = (-2x)
Learn more :-
Let a, b and c be non-zero real numbers satisfying (a³)/(b³ + c³) + (b³)/(c³ + a³) + (c³)/(a³ + b³)
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if a²+ab+b²=25
b²+bc+c²=49
c²+ca+a²=64
Then, find the value of
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