Question

Factories : x² - 10x + 21​

Answer 1

Answer:

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Step-by-step explanation:

1.1 Factoring x2+10x+21

The first term is, x2 its coefficient is 1 .

The middle term is, +10x its coefficient is 10 .

The last term, "the constant", is +21

Step-1 : Multiply the coefficient of the first term by the constant 1 • 21 = 21

Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is 10 .

-21 + -1 = -22

-7 + -3 = -10

-3 + -7 = -10

-1 + -21 = -22

1 + 21 = 22

3 + 7 = 10 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 7

x2 + 3x + 7x + 21

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

x • (x+3)

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

7 • (x+3)

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

(x+7) • (x+3)

Which is the desired factorization

Answer 2

Answer:

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