how do I simplify this?:
x(x exponent2 + 2x + 4)
do you mean
x2 + 2x + 4 ?
it does not factor using rationals, so that is all you can do.
yes :)
To simplify the expression x(x^2 + 2x + 4), we can use the distributive property of multiplication over addition. This property states that multiplying a number or a variable by an expression within parentheses will distribute the multiplication to each term inside the parentheses.
Let's go step by step:
1. Start by multiplying the x term outside the parentheses with each term inside the parentheses:
x * x^2 = x^3
x * 2x = 2x^2
x * 4 = 4x
Now we have:
x^3 + 2x^2 + 4x
So the simplified expression is x^3 + 2x^2 + 4x.