Question

If f(x)= 3x2 and g(x) = 4x + 1, what is the degree of (f×g)(x)?​

Answer 1

The degree of
`f(x)* g(x)` is 3.

Step-by-step explanation:

Given:

`f(x) = 3x^(2)\\g(x) = 4x +1`

To find the degree of
`f(x)* g(x)`

First we will find
`f(x)* g(x)`

Therefore,

`f(x)* g(x) = (3x^(2))* (4x + 1)`

now applying distributive property that is
`A* (B + C) = A* B + A* C` we get

`f(x)* g(x) = (3x^(2))* (4x + 1)`

`f(x)* g(x) = 3x^(2)* 4x + 3x^(2)* 1)`

`f(x)* g(x) = 12x^(3) + 3x^(2)`

Degree is define as highest Power raised to the variable.

Therefore,in this polynomial highest power is three hence the degree is also 3.

The degree of
`f(x)* g(x)` is 3.