Question

Mrs Cambell gave her algebra I students a list of teinomials to factor for homework. which of these can be factored into two binomials

a) x^2+3x+2
b) x^2+4x+5
c) x^2+5x+7
D) x^2+6x+10​

Answer 1

Answer: option a.

Explanation:

To factor a polynomial of degree 2, with the form
`ax^(2)+bx+c`, you must find two number whose sum is a and whose product is c. Then:

a)
`x^2+3x+2\\(x+1)(x+2)`

(it can be factored into two binomials)

b)
`x^2+4x+5` cannot be factored into two binomials.

c)
`x^2+5x+7` cannot be factored into two binomials.

d)
`x^2+6x+10` cannot be factored into two binomials.

Therefore, the answer is the option a.