Question

10)Divide the first polynomial by second and write the answer in the form:Dividend =Divisor × Quotient + remainder. 3x+2x²+4x³ ; x-4 *​

Answer 1

$\frac{3x + 2x {}^{2} + 4x {}^{3} }{x - 4} = 4 {x}^{2} + 18x + 75 + \frac{300}{x - 4}$

Answer 2

Here, Divisor = x-4

$\bold{Dividend = 4x^3+2x^2+3x}$

$\bold{Quotient = 4x^2+18x+75}$

Remainder = 300

Dividend =Divisor × Quotient + Remainder

$\small \bold{4x^3+2x^2+3x = x - 4 \times4x^2+18x+75 + 300}$