Question

slove x^ 2-3x-4 by splliting the middle term​

Answer 1

Answer:

Factoring x2-3x-4

The first term is, x2 its coefficient is 1 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1

x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-4)

Add up the last 2 terms, pulling out common factors :

1 • (x-4)

Step-5 : Add up the four terms of step 4 :

(x+1) • (x-4)

Which is the desired factorization