Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
2nd Edition
ISBN: 9780618912407
Author: MCDOUGAL LITTEL
Publisher: Mcdougal Littel
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Expert Solution & Answer
Chapter 2.6, Problem 21E
Solution
To find: all real zeros of the function.
The real zeros of the function
Given information:
The
Formula used:
The Rational Zero Theorem:
If
Calculation:
Consider the function
Since the leading coefficient is 6 and the constant term is -15, the possible rational zeros are:
Test these potential zeros by the synthetic division until it finds a zero. If a test number is a zero, the last number of the last row of the synthetic division will be
Note: If you test a positive number and it yields nonnegative numbers on the last row of the synthetic division, it means there will not be any zeros higher than the positive number you have tested.
Let's test
And
Let's test
And
The polynomial has a degree of
By using the last row of the synthetic division,
Solve this by factoring:
Therefore, the real zeros are
Chapter 2 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
Ch. 2.1 - Prob. 1GPCh. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4GPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 6GPCh. 2.1 - Prob. 7GPCh. 2.1 - Prob. 8GPCh. 2.1 - Prob. 1ECh. 2.1 - Prob. 2E
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Prob. 9GPCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41PSCh. 2.5 - Prob. 42PSCh. 2.5 - Prob. 43PSCh. 2.5 - Prob. 44PSCh. 2.5 - Prob. 45PSCh. 2.5 - Prob. 46PSCh. 2.5 - Prob. 1MRPSCh. 2.5 - Prob. 2MRPSCh. 2.5 - Prob. 3MRPSCh. 2.5 - Prob. 4MRPSCh. 2.5 - Prob. 5MRPSCh. 2.5 - Prob. 6MRPSCh. 2.5 - 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- 6 5 4 3 T 2 له 1- 1 -10-9 -8 -7 -6 -4 -3 -2 -1 0 2 3 4 5 -1- -2 -3 -4 -5. -8 -9. Which system is represented in the graph? Oy > x²+4x-5 y>x+5 Oy x²+4x-5 yarrow_forwardThe functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph. + N y 10 LO 5 f(x) = x² - 3 4 ♡ -3 -2 -10 -1 -2 -4- -5 x 2 3 4 56 7 8 9 g(x) = x² + 2 If the equations were changed to the inequalities shown, explain how the graph would change. y≤ x² - 3 y>-x²+2arrow_forwardThe function f(x) is shown in the graph. 2 1 y -1 0 1 2 3 4 5 -1- -3. f(x) -4 -5 -6. Which type of function describes f(x)? ○ Exponential O Logarithmic ○ Rational O Polynomial .co. 6 7arrow_forwardThe functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5 are given.Part A: What type of functions are f(x) and g(x)? Justify your answer.Part B: Find the domain and range for f(x) and g(x). Then compare the domains and compare the ranges of the functions.arrow_forwarda) IS AU B is independence linear Show that A and B also independence linear or hot and why, write. Example. 6) 18 M., M2 X and dim(x)=n and dim M, dim M₂7 Show that Mi M₂+ {0} and why? c) let M Me X and {X.,... xr} is beas of M, and {y,, ., un} is beas of M₂ and {x, xr, Menyuzis beas of X Show that X = M₁ M2 d) 15 M₁ = {(x, y, z, w) | x+y=0, Z=2W} CR" M₂ = (X, Y, Z, W)/x+Y+Z=0}arrow_forwardThe function f(x) is shown on the graph. ာ 2 3 2 f(x) 1 0 -1 -2 1 -3 -4 -5 2 3 4t Which type of function describes f(x)? Exponential O Logarithmic O Polynomial ○ Rationalarrow_forward1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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