Is (x + 5) a factor of f(x) = x^3 – 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.

ANSWER

Not a factor

EXPLANATION

The given polynomial has equation:

According to the remainder theorem, if (x+5) is a remainder, then f(-5)=0.

Let us substitute x=-5 into the function and evaluate to see if it will simplify to zero.

Since the remainder is not zero, x+5 is not a factor of

(x+5) is NOT a factor of given function f(x).

Step-by-step explanation:

Given function is .

Now we need to determine if (x+5) is a factor of given function f(x) or not using either the remainder theorem or the factor theorem.

I'm going to use factor theorem which says that "If (x-c) is a factor of f(x) then f(c)=0"

so for (x+5) we have c=-5

Now we need to check if f(-5)=0 or not

which is not equal to 0.

Hence (x+5) is NOT a factor of given function f(x).

47 - 90 = 43

43 - 180 = x

x = 137

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb