When a polynomial p(x) is divided by x+3 the quotient is x^2-x+5 and the remainder is 2. find p(x)?

p(x) ÷ (x +3) = (x² - x + 5) + 3/(x + 3)

p(x) = (x + 3)(x² - x + 5) + 3                      multiplied both sides by (x + 3)

p(x) = x(x² - x + 5) + 3(x² - x + 5) + 3        multiplied (x + 3) and (x² - x + 5)  

p(x) = (x³ - x² + 5x) + (3x² - 3x + 15) + 3    distributed (x) and (3)

p(x) = x³ + 2x² + 2x + 18                             added like terms

 p(x) = x³ + 2x² + 2x + 18

what does x eaqual

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.