Answer:
(f+g)(x) = x^3 + 3x^2 - 46.
Step-by-step explanation:
(f+g)(x) means to add the like terms in each function together.
So (f+g)(x) = x^2 - 36 + x^3 + 2x^2 - 10 = x^3 + 3x^2 - 46
So (f+g)(x) = x^3 + 3x^2 - 46.
A) the length of the unknown side is the square root of 289, or 17.
Answer:
z = 15 degrees, 5z = 75 degrees
Step-by-step explanation:
AYB is 180 degrees
CYD is 90
so the two missing angles sum to 180 - 90 = 90
z + 5z = 90
6z = 90
z = 15
5z = 75
Answer:
- x² + x + 1 and remainder 2
Step-by-step explanation:
<u>Given</u>
Without using a synthetic division, we can use easier method to find the quotient.
<u>We know the formula:</u>
- x³ - 1 = (x - 1)(x² + x + 1)
<u>Rewrite the given as:</u>
- x³ + 1 =
- x³ - 1 + 2 =
- (x - 1)(x² + x + 1) + 2
This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2