Answer:
Step-by-step explanation:
Set up an equation to model the situation,
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
Answer:
B, E, and F.
Step-by-step explanation:
We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).
Looking at the coefficients, we can see that our dividend is:
Our divisor will be (x - a), where a is the number on the very top left.
So, a = 2.
Thus, our divisor is:
Note that our remainder is 0.
So, the synthetic division shown is telling us that:
Hence, E is the correct choice. A uses the incorrect divisor.
If the divisor successfully divides with no remainder, then the divisor is a factor.
Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.
Hence, B is also correct.
C uses the wrong factor.
D uses the wrong value. It should be positive 2.
So, F is the correct choice.
Therefore, the answers are: B, E, and F.
