Question

2t^2+5t-12 factorise

please solve this...​

Answer 1

Answer:

2t^2 +5t-12

2t^2 +8t-3t -12

2t(t+4) -3(t+4)

(t+4)(2t-3)

Answer 2

Question :-

Factorize -

$\sf 2t^2 + 5t - 12$

Answer :

By using the middle term splitting method -

$\sf 2t^2 + 5t - 12$

$\sf = 2t^2 + 8t - 3t - 12$

$\sf = 2 ( t^2 + 4t ) - 3( t + 4)$

$\sf = 2t ( t + 4 ) - 3(t + 4)$

$\sf = ( 2t - 3)(t + 4)$

$\boxed{\sf 2t^2 + 5t - 12 = (2t - 3)(t+4)}$

Additional information :-

Types of Factorization -

(a) Factorization by taking out the common factor :-

When each term of an expression has a common factor, divide each term by this factor and take out as a multiple.

(b) Factorization by grouping

(c) Factorization by making a prefect square

(d) Factorization the difference of two squares.

(e) Factorization of a quadratic polynomial by splitting the middle term.

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