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Find a number c such that the polynomial p(x) = -x + 4x2 + cx3 - 8x4 has a zero at x = 1/4

Find a number c such that the polynomial p(x) = -x + 4x2 + cx3 - 8x4 has a zero at x = 1/4
asked 224k views
5 votes
Find a number c such that the polynomial

p(x) = -x + 4x2 + cx3 - 8x4
has a zero at x = 1/4

asked
User Cositanto
by
8.1k points

1 Answer

2 votes
Plug in (1/4,0) into the equation. You should get C=5
answered
User Jyo Fanidam
by
8.5k points
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Find a number c such that the polynomial p(x) = -x + 4x2 + cx3 - 8x4 has a zero at x =1/4
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