For a polynomial p(x), the value of p(3) is −2. which of the following must be true about p(x)? a) x−5 is a factor of p(x). b) x−2 is a factor of p(x). c) x+2 is a factor of p(x). d) the remainder when p(x) is divided by x−3 is −2.

D) The remainder when p(x) is divided by x−3 is −2.

Step-by-step explanation:

If p(3) =-2  then (x-3) is not a  factor  of p(x)

If it were a factor then p(3) would equal 0

p(3) =-2 means than -2 is the remainder when you divide the function by (x-3)

by the Remainder theorem

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

it is x=-4

step-by-step explanation: