To find: the product of two polynomials (t+2) and (3t^{2}-t+4) using indicated operation.

allhvasstH

allhvasstH

Answered question

2021-08-06

To find:
The product of two polynomials (t+2) and (3t2t+4) using indicated operation.

Answer & Explanation

Brighton

Brighton

Skilled2021-08-07Added 103 answers

Concept: 
Multiplication of polynomials: 
1) Divide each term of one polynomial by each term of the other polynomial to find the product of the two polynomials.
2) Another approach is to write the product vertically, much like how whole numbers are multiplied in arithmetic.
Calculation: 
Given that (t+2)(3t2t+4) 
To find the product of two polynomials (t+2) and (3t2t+4), is to distribute each term of (t+2), multiplying by each term of (3t2t+4) 
=t(3t2t+4)+2(3t2t+4) 
Using Distributive law, 
=3t3t2+4t+6t22t+8 
=3t3t2+6t22t+4t+8 [Grouping like terms] 
=3t3+5t2+2t+8 [adding coefficients of like terms] 
Final statement: 
Thus, (t+2)(3t2t+4)=3t3+5t2+2t+8

Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-06Added 2605 answers

Answer is given below (on video)

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