Complete the sentences to explain how to factor 3x2 + 17x + 10 by grouping. 3x2 + 17x + 10 = 3x2 + x + x + 10 The product of these coefficients must be The sum of these coefficients must be
Complete the sentences to explain how to factor 3x2 + 17x + 10 by grouping. 3x2 + 17x + 10 = 3x2 + x + x + 10 The product of these coefficients must be The sum of these coefficients must be
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**How to Factor \(3x^2 + 17x + 10\) by Grouping**
Complete the sentences to explain how to factor \(3x^2 + 17x + 10\) by grouping.
\[3x^2 + 17x + 10 = 3x^2 + \boxed{\quad}x + \boxed{\quad}x + 10\]
- The product of these coefficients must be \(\boxed{\quad}\).
- The sum of these coefficients must be \(\boxed{\quad}\).
In this example, we need to find two numbers that multiply to give the product of the first and last coefficients (in this case, \(3\) and \(10\)), and add up to the middle coefficient (\(17\)).
By solving these requirements, we proceed to factor the quadratic polynomial by grouping.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b91f986-cff4-42a8-8faf-14c1255b04a2%2Face66a2a-b33f-4f0d-bb03-e474c6354ea7%2Fk3cyv3n_processed.png&w=3840&q=75)
Transcribed Image Text:**How to Factor \(3x^2 + 17x + 10\) by Grouping**
Complete the sentences to explain how to factor \(3x^2 + 17x + 10\) by grouping.
\[3x^2 + 17x + 10 = 3x^2 + \boxed{\quad}x + \boxed{\quad}x + 10\]
- The product of these coefficients must be \(\boxed{\quad}\).
- The sum of these coefficients must be \(\boxed{\quad}\).
In this example, we need to find two numbers that multiply to give the product of the first and last coefficients (in this case, \(3\) and \(10\)), and add up to the middle coefficient (\(17\)).
By solving these requirements, we proceed to factor the quadratic polynomial by grouping.
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