Question

What is the degree of the function f(x)= x(x+1)2 (2x-3)(x+2)2

Answer 1

6

Explanation:

Given equation is
`f(x)= x(x+1)^2 (2x-3)(x+2)^2`.

Now we need to find about what is the degree of the give function.

We know that degree of polynomial function is the highest exponent of the variable (x).

So we can either expand the whole equation or count the degree of each factor then add those to get the degree of the given function.

Second choice will be easier.

Degree of
`x` = 1

Degree of
`(x+1)^2` = 2

Degree of
`(2x-3)` = 1

Degree of
`(x+2)^2` = 2

Hence degree of the given polynomial function = 1+2+1+2=6