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:
110
Step-by-step explanation:
Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.
I’m not sure but maybe the second one
Answer:
c=+20
Step-by-step explanation:
6c+14=-50+4+9c
move all terms to the left
6c+14-(-50+4+9c)=0
add all the numbers and variables together
6c-(9c-46)+14=0
We get rid of parentheses
6c-9c+46+14=0
add all the numbers and variables together
-3c+60=0
move all terms containing c to the left, all other terms to the right
-3c=-60
c=-60/-3
c=+20
Hope this helps!!!
Answer:
D) x=-3, y=-7
Step-by-step explanation:
9x - 7y = 22
x + 3y= -24
9x - 7y = 22
x= -24-3y
9(-24-3y)-7y=22
x= -24-3y
-216-27y-7y=22
x= -24-3y
-34y=22+216
x= -24-3y
-34y=238
x= -24-3y
y=238/(-34)
x=-24-3y
y=-7
x=-24-3*(-7)
y=-7
x=-24+21
y=-7
x=-3
(x,y)=(-3,-7)
