Question

5. (04.03 LC) Given a polynomial f(x), if (x + 5) is a factor, what else must be true? (6 points) O f(0) = 5 Of(0) = -5 O f(5) = 0 f(-5) = 0 6. (04.04 LC)​

1. linhdan
If (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
Given that (x+5) is a factor the polynomial f(x) and we are required to be the condition that will be true.
Polynomial is combination of algebraic terms may be in addition, subtraction, multiplication and division. If the highest power of variable in polynomial is one then it is said to be monomial ,If the highest power of variable in polynomial is two then it is said to be binomial,If the highest power of variable in polynomial is three then it is said to be trinomial and many more polynomials.
Factors are the numbers which when multiplied gives the number whose factors they are.
It is given that (x+5) is a factor of f(x).
Put (x+5)=0
x=-5
means when we are putting x=-5 then we will get 0.
Hence if (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.