Question

On dividing 3x^3-2x^2+5x+ 5 by the polynomial p (x),the quotient and remainder are x^2-x+2and -7. Find p(x)

Answer 1

dividend=divisor*question+remainder
3x^3-2x^2+5x-5=(3x+1)(x^2-x+2)+(-7) divisor

Answer 2

Answer:

3x+1

Step-by-step explanation:

3x^3-2x^2+5x-5=p[x] . [x^2-x+2]-7

3x^3-2x^2+5x+2 / x^2-x+2=p[x]

∵ remainder is 0,hence given polynomial is completely divisible by p[x].

∴p[x]=3x+1