Question
multiply. \( (x+1)\left(2 x^{2}-3 x+5\right) \)
Ask by Stanley Parsons. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is \( 2x^{3}-x^{2}+2x+5 \).
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Extra Insights
To multiply \( (x+1)(2x^2-3x+5) \), you can use the distributive property. Start by distributing \( x \): \( x(2x^2-3x+5) = 2x^3 - 3x^2 + 5x \) Next, distribute \( 1 \): \( 1(2x^2-3x+5) = 2x^2 - 3x + 5 \) Now, combine both results: \( 2x^3 - 3x^2 + 5x + 2x^2 - 3x + 5 \) Combine like terms: \( 2x^3 + (-3x^2 + 2x^2) + (5x - 3x) + 5 \) Final answer: \( 2x^3 - x^2 + 2x + 5 \)
