Question

factorize x^2-30x+225 by spliting middle term​

Answer 1

Step-by-step explanation:

hope this helped u

Answer 2

Factoring x2-30x+225

The first term is, x2 its coefficient is 1 .

The middle term is, -30x its coefficient is -30 .

The last term, "the constant", is +225

Step-1 : Multiply the coefficient of the first term by the constant 1 • 225 = 225

Step-2 : Find two factors of 225 whose sum equals the coefficient of the middle term, which is -30 .

-225 + -1 = -226

-75 + -3 = -78

-45 + -5 = -50

-25 + -9 = -34

-15 + -15 = -30 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -15

x2 - 15x - 15x - 225

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

x • (x-15)

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

15 • (x-15)

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

(x-15) • (x-15)

Which is the desired factorization