Question

spilt the middle term of 3t ^2 - 3t +2 ​

Answer 1

It can't be split.............................

Answer 2

Answer:

Step-by-step explanation:2t2-3t-2

Final result :

(t - 2) • (2t + 1)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2t2 - 3t) - 2

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2t2-3t-2

The first term is, 2t2 its coefficient is 2 .

The middle term is, -3t its coefficient is -3 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1

2t2 - 4t + 1t - 2

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

2t • (t-2)

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

1 • (t-2)

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

(2t+1) • (t-2)

Which is the desired factorization

Final result :

(t - 2) • (2t + 1)