Use the remainder theorem to complete the informal proof for the following statement. if x = -5 is a root of f(x), then (x + 5) must be f(x). find the of f(x) and (x + 5). the of this operation is 0. thus, (x + 5) is f(x). therefore, x = -5 is a root of f(x).

Step-by-step explanation:

1. a factor of

2. quotient

3. remainder

4. a factor of

i got this right btw

1. If x = -5 is a root of f(x), then (x + 5) must be a Factor of f(x).

2. Find the Quotient of f(x) when f(x) is divided  by  (x + 5).

3. Then Remainder of this operation is 0.

4. Thus, (x + 5) is Factor f(x).

5. Therefore, x = -5 is a root of f(x).

Remainder Theorem States that

→→Divisor = Dividend × Quotient + Remainder

→ f(x)= (x+5)×Quotient +0

→f(x)=Quotient× (x+5)

Quotient

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step-by-step explanation:

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.