Answer: -2, 0, 4
Set the equation equal to zero.
x³ - 2x² - 8x = 0
Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.
x(x² - 2x - 8) = 0
Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!
x(x - 4)(x + 2) = 0
Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).
x = 4
x = -2
The zeros of the polynomial function are -2, 0, and 4.
Answer:
b. 4 (7 + 6)
Step-by-step explanation:
Finding the GCF between 28 and 24:
We keep dividing while both numbers can be divided by the same factor. So
28 - 24|2
14 - 12|2
7 - 6
There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.
Simplifying in function of the GCF:
Now, we put 4 in evidence, and divide the rest of the expression by 4. So
The answer is given by option b.
Answer:
4 and any number other than 4
Step-by-step explanation:
The first answer is 8. Solve the equation for x.
x-4 = 4-x
To get rid of the x on the right side, you must add x to both sides
(x) + x - 4 = (x) + 4 - x
On the right side x-x=0 so now you are left with 4 on the right side
On the left side x+x=2x so you have 2x-4 on the left side.
Now add 4 to both sides to get rid of the 4 on the left side.
(4) + 2x - 4 = (4) + 4
On the left side, 4-4=0 so you are left with 2x.
On the right side 4+4=8
So now you have 2x = 8. To finish solving for x, you now need to divide both sides by 2.
2x 8
---- = -----
2 2
On the left, 2 divided by 2 equals 1 so you are left with x.
On the right, 8 divided by 2 equals 4.
So now you know what X must equal 4 to make the equation TRUE.
Any number other than 4 will make the equation false.
