Question

19. If (x + 1) is a factor of 2x + ax? + 25x + 1, than find
the value of a and b given that 2a -3b = 4.​

Answer 1

Answer:

Step-by-step explanation:

Consider given the expression,

⇒x  

3

−ax+b and  x−1,x−2 are the factor of this polynomial,

Given that, x−1=0 is the factor of x  

3

−ax+b

So, x=1 will be satisfied to  x  

3

−ax+b

Hence,

1  

3

−a.1+b=0

−a+b=−1

a−b=1     ……(1)

Given that, x−2=0 is the factor of x  

3

−ax+b

So, x=2 will be satisfied to  x  

3

−ax+b

2  3  −a.2+b=0

−2a+b=−2

2a−b=2      ……(2)

Subtract equation 1st from equation 2nd,

a=1

put the value of a in equation 1st,

b=0

Hence, this is the answer.