0
y = -36x2 - 55x + 14; since -36(14) = 4(-9)(7)(2) = 8(-63) and 8 + (-63) = -55, then
y = (-36x2 - 63x) + (8x + 14); factor out -9x and 2
y = -9x(4x + 7) + 2(4x + 7); factor out 4x + 7
y = (4x + 7)(-9x + 2); let y = 0
0 = (4x + 7)(-9x + 2); let each factor equal to zero and solve for x
4x + 7 = 0 or -9x + 2 = 0
x = -7/4 or x = 2/9
Thus, the parabola cuts the x-axis at -7/4 and 2/9.
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