To check if the binomial is a factor, we take it in the
form of x – c = 0 and then x = c, then substitute the value of c into x on the
polynomial equation. It is only a factor when the value of f(x) = 0
a. x – 1
x = 1
Substitute x = 1 into the equation.
f(x) = 1^3 + 3 * 1^2 – 25 * 1 – 75
f(x) = -96
(not a factor)
b. x – 3
x = 3
Substitute x = 3 into the equation.
f(x) = 3^3 + 3 * 3^2 – 25 * 3 – 75
f(x) = -96
(not a factor)
c. x + 3
x = -3
Substitute x = 3 into the equation.
f(x) = (-3)^3 + 3 * (-3)^2 – 25 * (-3) – 75
f(x) = 0
(a factor)
d. x - 5
x = 5
Substitute x = 3 into the equation.
f(x) = 5^3 + 3 * 5^2 – 25 * 5 – 75
f(x) = 0
(a factor)
e. x + 5
x = - 5
Substitute x = 3 into the equation.
f(x) = (-5)^3 + 3 * (-5)^2 – 25 * (-5) – 75
f(x) = 0
(a factor)
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Answer:
6 yards long
Step-by-step explanation:
1/3 yards wide = 2 yards long
Let x = length of the other rug
1 yard wide = x yards long
1/3 : 2 = 1 : x
1/3 ÷ 2 = 1 ÷ x
1/3 × 1/2 = 1 / x
1/6 = 1/ x
Cross product
1*x = 6*1
x= 6 yards
Therefore, the length of the new rug with 1 yard wide is 6 yards long
The first thing to do is to find the ratio of wide to long of the two rugs by representing the long of the second rug with x
It is the simplest method to solve the question
Ok, so first you need to get the fractions to have the same denominator:
1/3 = 2/6 and 1/6 = 1/6
Add the two eaten parts together : 2/6+1/6=3/6
Now, subtract the eaten part ( 3/6 ) from the whole pie ( 6/6 or 1 whole)
6/6 - 3/6 = 3/6
So, he gave half of the pie to his friends because 3/6 = 1/2
Hope this helps! If you have any questions let me know!
Answer:
y=6x+8
Step-by-step explanation:
Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.