algebra 2 problem

Question

When f(x) is divided by x+3 and that factor theorem is use for f(x) 3x⁶+82³+27 what would be the remainder?

 

I looked over the problem and it's written

 

f(x)= 3x⁶+82³+27

Answer 1

Assuming the commenter above is correct about the equation, the factor theorem simply states to substitute your factor into the function for x. Since your factor is x+3, we will use -3 in the problem.

 

f(-3) = 3(-3)⁶+8(-3)³+27

f(-3) = 1998

 

Thus, and again, assuming the commenter above has correctly identified your mistake in the original equation, the remainder is 1998.

 

If the function is actually f(x)=3x⁶+82x³+27, then as my comment below suggests:

 

f(-3) = 0 which means x+3 is a factor and the remainder is zero.