SOLUTION: Find the zeros of each function. State the multiplicity of multiple zeros 1.y=(x+2)(x-7)^2 2.y=x^4-16x^2

Algebra ->  Test -> SOLUTION: Find the zeros of each function. State the multiplicity of multiple zeros 1.y=(x+2)(x-7)^2 2.y=x^4-16x^2      Log On


   

Question 934595: Find the zeros of each function. State the multiplicity of multiple zeros
1.y=(x+2)(x-7)^2


2.y=x^4-16x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1.
y=%28x%2B2%29%28x-7%29%5E2 ...set y=0
0=%28x%2B2%29%28x-7%29%28x-7%29
zeros:
if 0=%28x%2B2%29 => x=-2....the multiplicity:1
if 0=%28x-7%29=> x=7....the multiplicity:2
+graph%28+600%2C+600%2C+-10%2C10%2C+-30%2C+120%2C+%28x%2B2%29%28x-7%29%28x-7%29%29+

2.
y=x%5E4-16x%5E2
0=x%5E2%28x%5E2-16%29
0=x%5E2%28x%5E2-4%5E2%29
0=x%5E2%28x-4%29%28x%2B4%29
zeros:
if 0=x%5E2=>x=0....the multiplicity:2
if 0=%28x-4%29=>x=4....the multiplicity:1
if 0=%28x%2B4%29=>x=-4....the multiplicity:1

+graph%28+600%2C+600%2C+-10%2C10%2C+-100%2C+30%2C+x%5E2%28x-4%29%28x%2B4%29%29+