Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Joan has 294 marbles
dan has 7 marbles
Answer:hello :
tanA = sinA/cosA
cosA = sinA /tanA
cosA =(4/5)/(4/3)
cosA=3/5
Step-by-step explanation:
Step-by-step explanation:
line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B
9514 1404 393
Answer:
0.4, 0.004, 0.004
Step-by-step explanation:
The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.
4/10 = 0.4 ⇒ 10 times 0.4 = 4
0.04 and .04 are exactly the same value, so the last two on your list are the same:
0.04/10 = 0.004 ⇒ 10 times .004 = 0.04
