11. Wilson bought a bus ticket to travel 22 miles to his friend's house. The ticket price was $5.00
1 answer:
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Answer:
2. Eunju is right
3. is a factor of
.
Step-by-step explanation:
<u>Polynomial Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:
To find out if x+b is a factor of f(x), we find f(-b):
Operating:
The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if is a factor of
without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:
Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:
Find f(-2):
Find f(-3):
Since both f(-2) and f(-3) are zero, is a factor of
.
Answer:
C
Step-by-step explanation:
If you simplify the equation you get . To solve a square root function, you need to set up
. You can take the square root of both sides to get
. Then, we identify the intervals that will satisfy the equation, which is -3 ≤ x < 1.
Sorry if the explanation is kind of confusing, I wasn't sure how to describe it.