SOLUTION: Find the x and y-intercepts. F(x)=25x^2+20x+4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the x and y-intercepts. F(x)=25x^2+20x+4       Log On


   

Question 308348: Find the x and y-intercepts. F(x)=25x^2+20x+4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Y-intercept: Set x=0.
F%280%29=0%2B0%2B4=4
(0,4)
X-intercepts: Set 25x%5E2%2B20x%2B4=0
You can factor this quadratic.
%285x%2B2%29%5E2=0
5x%2B2=0
5x=-2
x=-2%2F5
A double root at x=-2/5.
(-2/5,0)
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+graph%28+300%2C+300%2C+-2%2C+1%2C+-1%2C+5%2C++25x%5E2%2B20x%2B4%29+