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FIND YOUR ANSWER IN THE ATTACHMENT I GAVE
HOPE THIS HELPS YOU:-)
PLEASE MARK AS BRAINLIEST
BE ALWAYS HAPPY AND SMILING......
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Step by Step Explanation:
Given, Divisor = x + 3 and Dividend = 2x³ - 3x² - 23x + 12.
Step 1:
Multiply the part of the Quotient with divisor = 2x²(x + 3) = 2x³ + 6x². Then, Subtract 2x³+6x² from 2x³ - 3x² - 23x + 12.
Step 2:
Again,multiply the part of the quotient by the divisor -9x(x+3)
= -9x² - 27x. Then, subtract -9x² - 27x from -9x² - 23x + 12.
Step 3:
Subtract 4x + 12 from 4x + 12, we get 0.
Verification:
Dividend = Divisor * Quotient + Remainder
= (x + 3) * (2x² - 9x + 4) + 0
= (x * 2x²) - (9x * x) + (x * 4) + (3 * 2x²) - (3 * 9x) + (3 * 4)
= 2x³ - 9x² + 4x + 6x² - 27x + 12
= 2x³ - 3x² - 23x + 12
Therefore, Quotient = 2x^2 - 9x + 4, Remainder = 0.
Hope it helps!
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