For the quadratic function, find the x-intercepts and the y-intercept: m(x) = 10x^2 - 17x + 3

Question

raden · Answer

for x-intercepts, take m(x) = 0 or 
10x^2 - 17x + 3 = 0, solve for x
for y-intercept, take x = 0

anonymous · Answer

So I have to factor it out? And then solve for 0?

raden · Answer

yes... go ahead

anonymous · Answer

But there is no way to factor this out so I use the quadratic formula?

raden · Answer

10x^2 - 17x + 3 = (2x-3)(5x-1)

raden · Answer

now find zeros all factors,
take 2x-3 = 0 and 5x-1 = 0, solve for both

anonymous · Answer

Wait how did you factor the equation out?

raden · Answer

ok, for 10x^2 - 17x + 3
first, we find factor of 10x^2, it can be 2x times 5x or reverse (sometimes satisfy with x times 10x, but look situation for middle term)
next, find factor of 3, it can be 1 times 3 or reverse)
for ilustration, look here :
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