Find the value of for which the polynomial (
2 + 3 + ) is divisible by ( − 2)
Answers
Answered by
1
Answer:
Hey!!!!!
We have
=> 2x⁴ - ax³ + 4x² + 2x + 1 = p(x)
Thus for the divisiblity of 1 - 2x
=> 1 - 2x = 0
=> x = 1/2
Thus P(1/2) = 0
=> 2(1/2)⁴ - a(1/2)³ + 4(1/2)² + 2(1/2) + 1 = 0
=> 2(1/16) - a(1/8) + 4(1/4) + 1 + 1 = 0
=> 1/8 - a/8 + 1 + 1 + 1 = 0
=> 1/8 - a/8 + 3 = 0
=> a/8 = 25/8
=> a = 25
Hope this helps
Step-by-step explanation:
Similar questions