Question

x²+20x+100 solve it step by step​

Answer 1

The first term is, x2 its coefficient is 1 .

The middle term is, -20x its coefficient is -20 .

The last term, "the constant", is +100

Step-1 : Multiply the coefficient of the first term by the constant 1 • 100 = 100

Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is -20 .

-100 + -1 = -101

-50 + -2 = -52

-25 + -4 = -29

-20 + -5 = -25

-10 + -10 = -20 That's it

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

x2 - 10x - 10x - 100

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

x • (x-10)

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

10 • (x-10)

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

(x-10) • (x-10)

Answer 2

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