Question

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answer 1

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

Answer 2

Answer:

• No

Step-by-step explanation:

Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7

then f(-5) should be equal to zero. Verifying:

• f(-5) =
• (-5)^3 - 4(-5)^2 +3(-5) + 7 =
• -125 - 100 - 15 + 7 =
• -233

Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial