friends, today i gonna show u how to do Trinomial x Trinomial in 5 Secs
Example:[2x^2 +4X + 3] [3X^2 + X + 1] = ?
First: Multiply The First 2 Terms Of Each Polynomial to of your Answer; here : 3X^2 x 2X^2 = 6X^4
As its A Trinomial we will leave 3 Middle Terms
Answer: 6X^4 + --------- + ---------- + ----------- + ---------
2nd : Multiply The Last 2 Terms Of Each Polynomial to of your Answer; here : 3 x 1 = 3
Answer: 6X^4 + ---------- + ---------------- + --------------- + 3
3rd: Multiply First Term of the 1st polynomial With The 2nd Term of 2nd Polynomial , Ignoring The Last Terms of Each Polynomial and add the Product
Like This:
4th : Multiply Last Term of the 2nd polynomial With The Last Term of 2nd Polynomial , Ignoring The 1st Terms of Each Polynomial and add the Product
Like this :
5th : Now , multiply 1st term of the 1st polynomial with Last Term of the 2nd Polynomial and 2nd Term of 1st polynomial with 2nd term of the 2nd polynomial and 3rd term of 1st polynomial with 1st term of 2nd polynomial and add the products
Like this:
And You got Your Answer !
Source: 2 Days Of Examine
Please add Reps if You like !
Example:[2x^2 +4X + 3] [3X^2 + X + 1] = ?
First: Multiply The First 2 Terms Of Each Polynomial to of your Answer; here : 3X^2 x 2X^2 = 6X^4
As its A Trinomial we will leave 3 Middle Terms
Answer: 6X^4 + --------- + ---------- + ----------- + ---------
2nd : Multiply The Last 2 Terms Of Each Polynomial to of your Answer; here : 3 x 1 = 3
Answer: 6X^4 + ---------- + ---------------- + --------------- + 3
3rd: Multiply First Term of the 1st polynomial With The 2nd Term of 2nd Polynomial , Ignoring The Last Terms of Each Polynomial and add the Product
Like This:
4th : Multiply Last Term of the 2nd polynomial With The Last Term of 2nd Polynomial , Ignoring The 1st Terms of Each Polynomial and add the Product
Like this :
5th : Now , multiply 1st term of the 1st polynomial with Last Term of the 2nd Polynomial and 2nd Term of 1st polynomial with 2nd term of the 2nd polynomial and 3rd term of 1st polynomial with 1st term of 2nd polynomial and add the products
Like this:
And You got Your Answer !
Source: 2 Days Of Examine
Please add Reps if You like !