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.
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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