Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3
The factors are:
![(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]](https://tex.z-dn.net/?f=%28x%20-%202%29%5Bx%20-%20%28-1%20%2B%20i%5Csqrt%7B2%7D%29%5D%5Bx%20-%20%28-1%20-%20i%5Csqrt%7B2%7D%29%5D)
The first problem is true because with multiplication it doesn't matter which order it is in.
The second problem is false because you will get a different quotient depending on which numbers are on which side of the equation.
Answer:
y = 7x + 22
Step-by-step explanation:
pretty self explanatory
hope this helps <3
Answer:
x = 10
Step-by-step explanation:
The total measures of a circle must add up to 360°. In the diagram given there are two angles that are not given, however, both of these should be equal to each other. That means that the sum of the other two angles ('5x - 5' and 93°) must be equal to the other angle of the same measure (138°):
5x - 5 + 93 = 138
Combine like terms: 5x + 88 = 138
Subtract 88 from both sides: 5x + 88 - 88 = 138 - 88 or 5x = 50
Divide by 5: 5x/5 = 50/5 or x = 10
