Step 3 Write the two binomial factors so that the first term of each factor is x and the second terms of the factors are -2 and -9. x² - 11x + 18 = (x - 2) x-9 ],) Write the complete factorization of x2 - 11x + 18. Remember that the factors can be written in either order due to the commutative property of multiplication. X
Step 3 Write the two binomial factors so that the first term of each factor is x and the second terms of the factors are -2 and -9. x² - 11x + 18 = (x - 2) x-9 ],) Write the complete factorization of x2 - 11x + 18. Remember that the factors can be written in either order due to the commutative property of multiplication. X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Step 3**
Write the two binomial factors so that the first term of each factor is \(x\) and the second terms of the factors are \(-2\) and \(-9\).
\[ x^2 - 11x + 18 = (x - 2) \left( x - 9 \right) \]
Write the complete factorization of \(x^2 - 11x + 18\). Remember that the factors can be written in either order due to the commutative property of multiplication.
[Blank Box]
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In this step, the focus is on factorizing the quadratic expression \(x^2 - 11x + 18\) into two binomials. The expression is rewritten as \((x - 2)(x - 9)\), indicating that \(-2\) and \(-9\) are the roots. The prompt reminds us that the order of the factors does not matter because multiplication is commutative. There is a check mark indicating that the factorization is correct, and a blank box with a red "X" indicating an incomplete task that requires filling in the full factorization.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3182f1c-7375-4a50-8088-f06a8a8e9532%2F221836e9-e60b-4113-ac03-8413dc19e2b3%2Fhbcu13_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Step 3**
Write the two binomial factors so that the first term of each factor is \(x\) and the second terms of the factors are \(-2\) and \(-9\).
\[ x^2 - 11x + 18 = (x - 2) \left( x - 9 \right) \]
Write the complete factorization of \(x^2 - 11x + 18\). Remember that the factors can be written in either order due to the commutative property of multiplication.
[Blank Box]
---
In this step, the focus is on factorizing the quadratic expression \(x^2 - 11x + 18\) into two binomials. The expression is rewritten as \((x - 2)(x - 9)\), indicating that \(-2\) and \(-9\) are the roots. The prompt reminds us that the order of the factors does not matter because multiplication is commutative. There is a check mark indicating that the factorization is correct, and a blank box with a red "X" indicating an incomplete task that requires filling in the full factorization.
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