Answer:
B=3,A=2
Step-by-step explanation:
We are given that a polynomial
[tex]12x^4+30x^3+4x^2+10x[/tex]
We have to find the value of B.
Taking common 2x from the given polynomial
[tex]2x(6x^3+15x^2+2x+5)[/tex]
[tex]2x(3x^2(2x+5)+1(2x+5))[/tex]
Taking common factor [tex](2x+5)[/tex] then we get
[tex]2x(2x+5)(3x^2+1)[/tex]
After factorization compare with
[tex]Ax (Bx^2+1)(2x+5)[/tex]
Then, we get
A=2,B=3
