Which of the following is factors of 6x^2 – 5x – 1
Answers
Answer:
x= -1, 6
Step-by-step explanation:
these are the factors
Answer:
Factoring 6x2 + 5x + 1
The first term is, 6x2 its coefficient is 6 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 6 • 1 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 5 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 3
6x2 + 2x + 3x + 1
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (3x+1)
Add up the last 2 terms, pulling out common factors :
1 • (3x+1)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (3x+1)
Which is the desired factorization
Final result :
(-3x - 1) • (2x + 1)
Step-by-step explanation:
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