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).
Hey there, Brainiac!
To start this off, let's subtract LW from both sides of the equation.
S - LW = WH + HL
Now, let's use the distributive property on WH+HL.
Using the distributive property, we can change that to H(W+L)
S - LW = H(W+L)
Now, to finish this off, let's divide both sides by (W+L)
That's your answer.
Have an awesome day! :)
~collinjun0827, Junior Moderator
Answer:160 presents
Step-by-step explanation:
3 presents per minute
20 presents in one hour
20•8= 160
This is a problem of Difference-of-squares. We know that for a difference of squares
the factorization is given by:
To learn this you need to remember that a <em>difference</em> means <em>subtraction.</em> So applying those concepts we can solve this problem step by step.
Applying distributive property:
Applying distributive property again:
Simplifying:
<em>The correct answer is C</em>
Answer:
D) 180 miles / 6 gallons
Step-by-step explanation:
180 / 6 simplified is 30 / 1. Although C has the same numbers, the numbers are switched. 6 / 180 simplified would be 1 / 30. This is not the same as 30 / 1.
