Explanation Given Information: The provided polynomial is − 1 + 2 x 2 − x . Formula used: Follow the steps as mentioned below to compute the factorization of a polynomial a x 2 + b x + c when a ≠ 1 by foil method. Step 1: Take the largest common factor as common, if possible. Step 2: Find the two first terms in a combination whose product will give a x 2 which will represent “ F ” in the FOIL. Step 3: Find the two last terms in a combination whose product will give c which will represent “ L ” in the FOIL. Step 4: Take the outer product by multiplying first and the last term obtained from step 2 and 3 also take the inner product by multiplying reaming inner terms obtained from step 2 and 3 then take the sum of results to get the value of b x which will represent “ OI ” in the FOIL. Step 5: Check the result by multiplication. Calculation: Consider the provided polynomial, − 1 + 2 x 2 − x Rewrite the polynomial in descending order, 2 x 2 − x − 1 Now first compute the factors of 2 x 2 − x − 1 , as, Take the combination of two terms, whose product is 2 x 2 , Combination of terms Product 2 x and x 2 x 2 Write this combination in factor form, as, ( 2 x + ) ( x + ) Take the possible pairs of two terms, whose product is − 1 , Possible pairs Product of pairs 1 , − 1 − 1 − 1 , 1 − 1

16th Edition

ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

See similar textbooks

Videos

Question

Chapter 11.3, Problem 41ES

To determine

To calculate: The factorization of the polynomial −1+2x2−x.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.3, Problem 40ES

Chapter 11.3, Problem 42ES

Students have asked these similar questions

4 πT14 Sin (X) 3 Sin(2x) e dx 1716 S (sinx + cosx) dx

Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values of x do the local maximum and minimum values of g occur? Xmin = Xmin = Xmax = Xmax = (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? x = (c) On what interval is g concave downward? (Enter your answer using interval notation.)

2. Graph the function f(x)=e* −1. Label three points on the graph (one should be the intercept) with corresponding ordered pairs (round to one decimal place) and label the asymptote with its equation. Write the domain and range of the function in interval notation. Make your graph big enough to see all important features. You may show the final graph only.

Chapter 11 Solutions

DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<

Ch. 11.1 - Objective 7.7d: Use the distributive laws to...Ch. 11.1 - Prob. 2SR Ch. 11.1 - Prob. 1DE Ch. 11.1 - Prob. 2DE Ch. 11.1 - Prob. 3DE Ch. 11.1 - Prob. 4DE Ch. 11.1 - Prob. 5DE Ch. 11.1 - Prob. 6DE Ch. 11.1 - Find the GCF. GS 24m5n6,12mn3,16m2n2,8m4n4 The...Ch. 11.1 - Prob. 8DE

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The factorization of the polynomial − 1 + 2 x 2 − x .

Solution Summary: The author explains how to calculate the factorization of the polynomial -1+2x2-x by foil method.

Videos

To calculate: The factorization of the polynomial −1+2x2−x.

Want to see the full answer?

Chapter 11 Solutions