Question

If the quotient q (x) =2x² -3x-4, remainder r (x) =4x-5 and divisor g(x) = 2x-3, then the dividend is​

Answer 1

Answer:

4x² - 12x² +5x + 7

Step-by-step explanation:

let dividend be f(x)

f (x) = g(x) × q(x) + r(x)

f (x) = (2x - 3) (2x² - 3x - 4) + 4x - 5

f (x) = 4x³ - 6x² - 8x - 6x² + 9x + 12 + 4x - 5

f (x) = 4x³ - 6x² - 6x² - 8x + 9x + 4x + 12 - 5

f (x) = 4x³ - 12x² + 5x + 7