Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8