Question

on dividing p (x) = 3x3+x2+2x+5 by a polynomial g (x),the quotient and reminder are (3x-5) and (9x+10) respectively.find g (x).​

Answer 1

Answer:

g(x) = $x^{2}$ + 2x+ 1

Step-by-step explanation:

Dividend = Divisor × Quotient + Remainder

Let the divisor be a

3$x^{3}$ + $x^{2}$ +2x +5 = a × 3x - 5 + 9x + 10

3$x^{3}$ + $x^{2}$ +2x +5 - 9x -10 = a × 3x -5

3$x^{3}$ + $x^{2}$ - 7x -5 = a × 3x -5

3$x^{3}$ + $x^{2}$ - 7x -5 ÷  3x -5 =a

a = $x^{2}$ + 2x+ 1

g(x) = $x^{2}$ + 2x+ 1

Hope it helps........