SOLUTION: Can someone show me step by step how to solve this equation. thank you much in advance.. If x = 1 and x = -8, then form a quadratic equation thank you!!!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can someone show me step by step how to solve this equation. thank you much in advance.. If x = 1 and x = -8, then form a quadratic equation thank you!!!!      Log On


   

Question 171899This question is from textbook
: Can someone show me step by step how to solve this equation. thank you much in advance..
If x = 1 and x = -8, then form a quadratic equation

thank you!!!! This question is from textbook

Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x=1 and x=-8 Start with the given solutions.


Get all terms to the left side in each case


x-1=0 and x%2B8=0


Now use the zero product property in reverse to join the factors.


%28x-1%29%28x%2B8%29=0


FOIL

x%5E2%2B7x-8=0


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Answer:

So the polynomial with roots of 1 and -8 is

y=x%5E2%2B7x-8



Notice how if we graph y=x%5E2%2B7x-8, we can visually verify our answer

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B7%2Ax-8+%29+ Graph of y=x%5E2%2B7x-8 with roots of x=1 and x=-8

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Can someone show me step by step how to solve this equation. thank you much in advance..
If x = 1 and x = -8, then form a quadratic equation
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x=1
x=-8
x-1 = 0
x+8=0
(x-1)*(x+8) = 0
x^2 + 7x -8 = 0