document.write( "Question 382653: I need help with finding all intercepts for the graph of the quadratic function
\n" ); document.write( "f(x) = 5x² - 38x + 21 \n" ); document.write( "

Algebra.Com's Answer #271105 by kingme18(98) $\"\"$ $\"About$

You can put this solution on YOUR website!
x-intercepts can be found by setting y=0, and y-intercepts are when x=0.
\n" ); document.write( "The y-intercept is easier to find: $\"f%280%29=5%2A0%5E2-38%2A0%2B21=21\"$ , so the y-intercept is 21.
\n" ); document.write( "To find the x-intercepts: $\"0=5x%5E2-38x%2B21\"$ . We can solve by factoring: $\"0=%285x-3%29%28x-7%29\"$ . If two things multiply to 0, one of them must be equal to 0. Thus, either $\"5x-3=0\"$ or $\"x-7=0\"$ . To solve the first equation, add 3 to both sides then divide by 5, so $\"x=3%2F5\"$ . To solve the second, add 7 to both sides and get $\"x=7\"$ . This means your x-intercepts are 3/5 and 7. \n" ); document.write( "

\n" );