Question

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

Answer 1

Answer:

Step-by-step explanation:

Using 1/2 ..,.

p(1/2) => 2(1/2)^4 - a(1/2)³ +4(1/2)² +2(1/2) +1

⇒ 1/8 - a/8 + 1 +1 +1

⇒1/8 - a/8 +3. ----1

1/2 is the zero of p(X)

∴p(1/2) = 0. ------2

∴ 1 and 2

⇒1/8 - a/8 +3 = 0

⇒1/8 - a/8 = -3

⇒-a/8 = -3+1/8

⇒-a/8 = -23/8

⇒a/8 = 23/8

⇒a= 23 /8 × 8

⇒a = 23

This should be the answer

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