Subtract. (x^2+3x-7) - (3x^2-5x+3)

-x2 - 2x + 10

Step-by-step explanation:

(((x2) - 5x) + 3) - ((2x2-3x) - 7)

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

-x2 - 2x + 10 = - 1 • (x2 + 2x - 10)

Trying to factor by splitting the middle term

3.2 Factoring x2 + 2x - 10

The first term is, x2 its coefficient is 1.

The middle term is, + 2x its coefficient is 2.

The last term, "the constant", is - 10

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 10 = - 10

Step-2 : Find two factors of - 10 whose sum equals the coefficient of the middle term, which is 2.

-10 + 1 = - 9

-5 + 2 = - 3

-2 + 5 = 3

-1 + 10 = 9

Observation : No two such factors can be found!

Conclusion : Trinomial can not be factored