Khalif M.

asked • 03/21/16

Find all the X-intercepts of each polynomial

f(X)= 8x3+512

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Mark M. answered • 03/21/16

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x-intercept occurs when f(x) = 0
 
f(x) = 8x3 + 512
0 = 8x3 + 512             set f(x) = 0
-512 = 8x3                  subtract 512 from both sides
-64 = x3                      divide both sides by 8
-4 = x                         take cube root of both sides
 
 
(-4, 0) is the x-intercept
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Kenneth S.

0 = 8x3 + 512 is factorable: 8(x3+26) = 8(x+4)(x2-4x+16) and the second factor is prime, so the only zero (x-int.) is -4.
 
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03/21/16

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