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)
Answer: 7
Step-by-step explanation: -35 / -5 = 7
Answer:
14 cm^2
Step-by-step explanation:
You find the area of both triangles, and subtract by 4
6x3x1/2x2 - 2x2
18 - 4
14
In any trapezoid, the area is given by
where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in:
Step-by-step explanation:
f(x) = 3x² - 2x + 7
f(-2) = 3(-2)² -2(-2) + 7
= 3(4) + 4 + 7
= 23
