SOLUTION: Find all intercepts for the graph of the quadratic function. f(x)=5x^2-38x+21

Question 130393: Find all intercepts for the graph of the quadratic function. f(x)=5x^2-38x+21
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First let's find the y-intercept. To do that, simply plug in

Start with the given function

Plug in

Raise 0 to the 2nd power to get 0

Multiply 5 and 0 to get 0

Multiply 38 and 0 to get 0

Subtract 0 from 0 to get 0

Add 0 and 21 to get 21

So the y-intercept is (0,21)

Now let's find the x-intercept. To do that, simply plug in (ie )

Start with the given function

Plug in

Factor the right side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So the x-intercepts are

and

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