Drag each factor to the correct location on the image. If p(1) = 3, p(-4) = 8, p(5) = 0, p(7) = 9, p(-10) = 1, and p(-12) = 0, determine which expressions are factors of the polynomial p(x).

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

answer:

sometimes

*i think

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9