Question

x2 + 3Ox - 400
please factories it
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Answer 1

Answer:

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is -400

Step-1 : Multiply the coefficient of the first term by the constant 1 • -400 = -400

Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is -30 .

-400 + 1 = -399

-200 + 2 = -198

-100 + 4 = -96

-80 + 5 = -75

-50 + 8 = -42

-40 + 10 = -30

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -40 and 10

x2 - 40x + 10x - 400

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

x • (x-40)

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

10 • (x-40)

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

(x+10) • (x-40)

Which is the desired factorization