Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is: 
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).
Answer:
helpme
Step-by-step explanation:
...
<u>Answer:</u>
Limit = -1
<u>Step-by-step explanation:</u>
We are given the following function:
We are to calculate the limit of this function as x approaches zero.
For that, we will use direct substitution method and substitute the x with 0 in the given function to calculate its limit as follows:
Therefore, the limit is -1.
Answer:
188.25
Step-by-step explanation:
Okay, so. He had 403.75. He gives 215.50 to Mia. So, we would subtract it.
403.75 - 215.50 = 188.25
Therefore they will have 188.25 left.
Answer:
c. 63 toothpicks
Step-by-step explanation:
ok so the base for 16 would be 16 toothpicks
when i first see it that no matter what we would be multiplying 16 by 3 for that triangle shape
16 x 3 = 48
then we would have 15 for the connection toothpicks
48 + 15 = 63
16 would have 63 toothpicks
