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.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6