Express as a polynomial. (3x+5)(2x^{2}-9x-5)

William Collins

William Collins

Answered question

2021-12-09

Express as a polynomial. (3x+5)(2x29x5)

Answer & Explanation

Carl Swisher

Carl Swisher

Beginner2021-12-10Added 28 answers

Step 1
We have to express the given product in polynomial:
(3x+5)(2x29x5)
Rewriting the given product in expanded form,
(3x+5)(2x29x5)=3x(2x29x5)+5(2x29x5)
=3x×2x23x×9x3x×5+5×2x25×9x5×5
=6x327x215x+10x245x25
Step 2
Simplifying further by combining similar terms, we get
6x327x215x+10x245x25=6x327x2+10x215x45x25
=6x317x260x25
It is cubic polynomial since it has highest exponent 3.
Hence, required polynomial is 6x317x260x25.

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