divide x cube + 3x square - 5 x + 4 by x minus 2 and verify the division algorithm
Answers
x³+3x²-5x+4 divided by x-2
X - 2| x³ + 3x² - 5x + 4 | x² + 5x + 5
x³ - 2x²
------------------------
5x² - 5x + 4
5x² - 10x
------------------------
5x + 4
5x - 10
------------------
14
------------------
Verification:-
Dividend =. Divisor × Quotient +
Remainder
= (x - 2) ×(x² + 5x + 5) + 14
= x³ + 5x² + 5x - 2x² - 10x - 10 + 14
= x³ + 3x² - 5x + 4
Hope it will help you
✌️ Sai
Step-by-step explanation:
Long Division Method:
x - 2) x³ + 3x² - 5x + 4 ( x² + 5x + 5
x³ - 2x²
------------------------
5x² - 5x + 4
5x² - 10x
------------------------
5x + 4
5x - 10
------------------
14
Verification:
Dividend = Divisor * Quotient + Remainder
= (x - 2) * (x² + 5x + 5) + 14
= x³ + 5x² + 5x - 2x² - 10x - 10 + 14
= x³ + 3x² - 5x + 4
Hope it helps!