A zero of a function f is where f(x) is equal to zero. You can see that the y-coordinate is zero in two places: for x = -1 and for x =1.
The multiplicity of a root is the number of times it appears as a factor in the function. For example, in
![g(x) = x(x+1)^5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%28x%2B1%29%5E5)
, -1 has a multiplicity of five, and 0 has a multiplicity of one. If the multiplicity is an even number, then the graph touches zero and then rebounds (it does not change sign). This is because raising a number to an even power maintains its sign. If the multiplicity is odd, then the graph touches zero and cross the x-axis, changing its sign.
Here, -1 has an odd multiplicity, and 1 has an even multiplicity.
This could be the equation of
![f(x) = (x-1)^2(x+1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x-1%29%5E2%28x%2B1%29)
.
Answer:
x = 5
Step-by-step explanation:
x/2 = 15/6
6 * x = 15 * 2
6x = 30
x = 30 / 6
x = 5
(-4/3)x-6=-26
(-4/3)x=20
x = 15
Well to find out if they simplify to -1, work out the expression
A) -1(1-1)
simplify inside the parenthesis
-1(0)
anything times 0 is 0
B) -(-1)(-1)
this one simplifies to -1
C) <span>(− 1) + 1 − 1 (− 1)
PEMDAS
-1 + -1
2
then work from left to right
-1 + 1 is 0 plus 1 is 1
D)</span><span>− (− 1) − (− 1)(− 1)
PEMDAS so do Multiplication first
-(-1) is 1
1 - (-1)(-1)
-1*-1 is 1
1-1 is 0
</span>
The answer to this question is B
Hope this helps :)
C......................................