Question

if 1/2 is a zero of the polynomial p(X)=2x⁴+ax³+4x²+2x+1 find a​

Answer 1

Answer:

a = -9

Step-by-step explanation:

p(x) = 2x⁴+ ax³ + 4x² + 2x + 1

p(1/2) = 2(1/2)⁴ + a(1/2)³ + 4(1/2)² + 2(1/2) + 1

2(1/16) + 2(1/8) + 2(1/4) + 2(1/2) + 1 = 0

1/8 + a/8 + 1/2 + 1 + 1 = 0

1 + a + 4 + 4/8 = 0

9 + a = 0

a = -9

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