Perform the indicated operation and simplify the result. Leave your

William Curry

William Curry

Answered question

2021-12-07

Perform the indicated operation and simplify the result. Leave your answer in factored form.
[6x(x24)][3x92x+4]

Answer & Explanation

Durst37

Durst37

Beginner2021-12-08Added 37 answers

Step 1
The mathematical operations on polynomials are carried out in the same way as the operations on numbers. The multiplication of polynomials increases the degree of the polynomial while division decreases the degree of the polynomial.
The factorization of polynomials is possible with the help of zeroes of the polynomials. One of the standard factorization formulae is a2b2=(a+b)(ab).
Step 2
The operations is carried out and simplified as follows:-
[6x(x24)]×[3x92x+4]=[6x(x+2)(x2)]×[3(x3)2(x+2)]
=9x(x3)(x+2)(x+2)(x2)
The final expression is the factorized form.

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