Math, asked by thegamermeghna, 6 months ago

Which of the following is factors of 6x^2 – 5x – 1​

Answers

Answered by ShanmugavelG
1

Answer:

x= -1, 6

Step-by-step explanation:

these are the factors

Answered by goudabhishek025
1

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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