Question

what is the factor of 2t^3+t^2-2t-1

Answer 1

Answer:

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Answer 2

Answer:

(t−1)⋅(3t+1)

Step-by-step explanation:

3t2 - 2t) - 1

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 3t2-2t-1

The first term is, 3t2 its coefficient is 3 .

The middle term is, -2t its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

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

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3t2 - 3t + 1t - 1

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

3t • (t-1)

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

1 • (t-1)

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

(3t+1) • (t-1)

Which is the desired factorization

Final result :

(t - 1) • (3t + 1)