Question

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

y = x^2 + 7x + 10

Answer 1

(x + 2)(x + 5)

Explanation:

For factored form you have to determine what two numbers multiplied by each other equal c that also, when added to each other, equal b.

Y= ax^2 + bx + c

a=1

b=7

c=10

the factors of 10 are 1, 2, 5, 10

and 2 + 5 = 7

and in factored form with a = 1

(x + 5)(x + 7)

Answer 2

y = (x+5)(x+2)

Explanation:

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

`y = x^2 + 7x + 10`

We can factorize the given quadratic function such that when multiplied, the factors give a product of 10 and when added, they give a result of 7.

`y=x^2+5x+2x+10`

`y=x(x+5)+2(x+5)`

`y=(x+5)(x+2)`

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