Mrs campbell gave her algebra 1 students a list of trinomials 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

A

Step-by-step explanation:

A trinomial can be factored into two binomials, when the discriminant of the trinomial is greater than or equal to 0.

The discriminant for trinomial is he expression

Check all options:

A.

then

Thus,

B.

so this trinomial cannot be factored.

C.

so this trinomial cannot be factored.

D.

so this trinomial cannot be factored.

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