The equation 12x + 15y = 390 represents the total revenue during a one-day fundraiser. In the equation, x represents the number
2 answers:
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Answer:
- <u>x + 2 is not a factor</u>
Explanation:
The answer choices are:
- a. x + 5
- b. x + 4
- c. x + 3
- d. x + 2
The<em> remainder theorem</em> states that the remainder of the division of a polynomial f(x) by a factor x - a is equal to f(a).
Therefore, when f(a) = 0, the remainder is zero and x - a is a factor of the polynomial.
Then, you must find f(a) for each of the factors on the choices:
a. x + 5
⇒ a = - 5
Since f(-5) = 0, x + 5 is a factor of the polynomial.
b. x + 4
⇒ a = - 4
Since f(-4) = 0, x + 4 is a factor.
c. x + 3
Since f(-3) = 0, x + 3 is a factor.
d. x + 2
Since f(-2) ≠ 0, x + 2 is not a factor ← answer