49x²-35x+6 factorise
Answers
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:
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