Question

Rewrite the following quadratic functions in intercept or factored form. Show your work.

y = 5x^2 + 10x

Answer 1

y = 5x(x+2)

Explanation:

Given quadratic equation is:

y = 5x²+10x

We have to transform given function into factored form.

Taking x common from given function,we get

y = x(5x+10)

5 and 10 are multiple of 5.

Hence,

taking 5 as common,we get

y = x(5)(x+2)

y = 5x(x+2) is factored form of given quadratic function.

Answer 2

y = 5x (x+2)

Explanation:

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

`y = 5x^2 + 10x`

We can factorize the given expression so taking the common factors out of it to get:

`y=5x^2 + 10x`

`y = 5x (x + 2)`

Therefore, the factored form of the given quadratic function is y = 5x (x+2).