SOLUTION: How do you find the degree and zeros of x(x+4)(x-3)? Thank you

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Question 170657: How do you find the degree and zeros of x(x+4)(x-3)?
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Finding the Degree:

x%28x%2B4%29%28x-3%29 Start with the given expression


x%28x%5E2%2Bx-12%29 FOIL %28x%2B4%29%28x-3%29 to get x%5E2%2Bx-12


x%5E3%2Bx%5E2-12x Distribute


Notice how the largest exponent is 3. So this means that the degree of x%5E3%2Bx%5E2-12x(and x%28x%2B4%29%28x-3%29) is 3


So the degree is 3.

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Finding the zeros:


x%28x%2B4%29%28x-3%29 Start with the given expression


x%28x%2B4%29%28x-3%29=0 Set the given expression equal to zero



Now set each factor equal to zero:


x=0, x%2B4=0 or x-3=0


Now solve for x for each factor:


x=0, x=-4 or x=3


So the zeros of x%28x%2B4%29%28x-3%29 are x=0, x=-4 or x=3