Math, asked by divyamshah, 2 months ago

42 > 12x - 7 x 42 x 6 W
, хЄ W

Answers

Answered by nidhipsamlot
0

Answer:

x2 - 3x - 18

Simplify ————————————

x2 + x - 42

Trying to factor by splitting the middle term

1.1 Factoring x2 - 3x - 18

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 1 • -18 = -18

Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -3 .

-18 + 1 = -17

-9 + 2 = -7

-6 + 3 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 3

x2 - 6x + 3x - 18

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

x • (x-6)

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

3 • (x-6)

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

(x+3) • (x-6)

Which is the desired factorization

Trying to factor by splitting the middle term

1.2 Factoring x2+x-42

The first term is, x2 its coefficient is 1 .

The middle term is, +x its coefficient is 1 .

The last term, "the constant", is -42

Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42

Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .

-42 + 1 = -41

-21 + 2 = -19

-14 + 3 = -11

-7 + 6 = -1

-6 + 7 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7

x2 - 6x + 7x - 42

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

x • (x-6)

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

7 • (x-6)

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

(x+7) • (x-6)

Which is the desired factorization

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