Question 478401
Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph.
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y=6x^2+13x+6
y-intercept, set x=0, then solve for y
y=0+0+6=6
y-intercept=6
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x-intercepts or zeros
set y=0, then solve for x, by factoring in this case
0=6x^2+13x+6
(2x+3)((3x+2)=0
2x+3=0
2x=-3
x=-3/2
or
3x+2=0
3x=-2
x=-2/3
x-intercepts: -3/2 and -2/3
see the graph below as a visual check on the answers:
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{{{ graph( 300, 300, -4, 4, -4, 4,6x^2+13x+6) }}}