Question

49x²-35x+6 factorise ​

Answer 1

Answer:

2.1 Factoring 49x2-35x-6

The first term is, 49x2 its coefficient is 49 .

The middle term is, -35x its coefficient is -35 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 49 • -6 = -294

Step-2 : Find two factors of -294 whose sum equals the coefficient of the middle term, which is -35 .

-294 + 1 = -293

-147 + 2 = -145

-98 + 3 = -95

-49 + 6 = -43

-42 + 7 = -35 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -42 and 7

49x2 - 42x + 7x - 6

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

7x • (7x-6)

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

1 • (7x-6)

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

(7x+1) • (7x-6)

Which is the desired factorization

Step-by-step explanation:

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Answer 2

Answer:

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