Answer:
Option (a) is correct.
a(x)b(x) = (ab)(x)
To produce a quadratic equation the two linear equation must be multiply.
Step-by-step explanation:
Given : a(x) and b(x) are linear functions with one variable.
We have to choose from the given option the correct expression that will produce a quadratic equation.
Quadratic equation is an equation which is in the form of [tex]ax^2+bx+c[/tex] where [tex]a\neq0[/tex]
Since given a(x) and b(x) are linear equation in one variables so to get square term we must multiply the two linear equations.
Let a(x)=3x+1
and b(x)= 8x+1
then when we multiply we get,
[tex]a(x)\times b(x)=(3x+1)\times (8x+1)=24x^2+11x+1[/tex]
Thus, To produce a quadratic equation the two linear equation must be multiply.
Thus, a(x)b(x) = (ab)(x) is correct.
Option (a) is correct.
