Question

Determine the value of a for which p(x) = 2x" - ax + 4x* + 2x +1 is divisible by g(x)= 1- 2x.​

Answer 1

Answer:

the initial step is to divide 2x^4-ax^3+4x^2+2x+1 by 1–2x.

after the initial step we will obtain quotient and remainder in terms of a

by using the formula,

dividend=divisor *quotient + remainder

put all of the values accordingly and solve the equation obtained to find the value of a.

Step-by-step explanation:

1–2x=0

x=1/2

Let, f(x) =2x^4-ax^3+2x+1

f(1/2) =0

2(1/16) -a(1/8)+2(1/2) +1=0

1-a+16=0

a=17