Question

if X + 1 is a factor of 2 x cube +a x square + 2 X + 1 and 2 aminus 3 b is equal to 4 then find the value of a and b​

Answer 1

Answer:

X + 1 is a factor of 2x³ + ax² + 2bx + 1

Therefore x = - 1 is a zero the polynomial

Substituting the value of x in the polynomial,

2(-1)³ + a(-1)² + 2b(-1) + 1 = 0

-2 + a - 2b + 1 = 0

a - 2b = 1

a = 1 + 2b......... (1)

2a - 3b = 4 (given)

Substituting the value of a,

2(1 +2b) - 3b = 4

2 + 4b - 3b = 4

b = 2

a = 1 + 2b = 1 + 2(2) = 1 + 4 = 5

A = 5

B = 2

Hope it helps.....