5. All rational expressions must have restrictions. True or False? Give an example to justify youranswer.6.Box or highlight the students' errors and explain the errors.(3x – 1)(x + 5)x + 5x + -5,5,(x – 5)(x + 5)1- 3x(3x–19(x + 5)*+5(x – 5)(*+5)1- 3xx + 5x - 5= 0

Since you have posted multiple questions and we can answer one question. So answered first question.…

Answered: All rational expressions must have…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.7: Rational Expressions

Problem 99E

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Similar questions

Find the rational zeros of P(x)=3x310x2+9x2.
DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?
3-6 The following questions are about the rational function r(x)=(x+1)(x2)(x+2)(x3) The function r has x-intercepts __________ and __________.
a If we divide the polynomial P(x) by the factor xc and we obtain a remainder of 0, then we know that c is a ________ of P. b If we divide the polynomial P(x) by the factor xc and we obtain a remainder of k, then we know that P(c)=.
7/2x^2-8x+5 and I need to list the numbers that must be excluded from the domain of the rational expression
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True or false:3/2 is a possible rational zero of f(x) = 2x3 + 11x2 - 7x - 6._______
True or False The polynomial x2 + 4 is prime.
Determine the value(s) for which the rational expression 5n/-6n is undefined. If there's more than one value
6. Which of the following could be used to perform the synthetic division for ( 3 + x3 + 6x4 - 7x) divided by ( x - 3)? A. 3 | 1 6 7 3 C. - 3 | 1 6 -7 3 B. 3 | 6 1 0 -7 3 D. – 3 | 6 1 0 7 3 7. What is the quotient when (7x2 + x3 - 72 – 6x) is divided by (x + 6)? A. x 2 - 6x – 9 B. x2 + x – 12 C. x2 + x + 12 D. x2 + 4x + 3 8. If ( 1 + x3 – 6x - 3x2 ) is divided by (x + 1), then the remainder is _____. A. 7 B. 3 C. 1 D. 0 9. The area of a rectangular pool table is (4x2 - 4x - 35) square units. The length is (2x + 5) units. What is the width? A. (2x – 12) units C. (2x + 7) units B. (2x – 7) units D. (2x + 12) units 10. John earns (13x - 2x3 + x4 - 6) pesos for working in (x + 2) days. How much is his daily earnings? A. (x3 + 4x2 + 8x - 3) pesos C. (x3 – 4x2 + 8x - 3) pesos B. (x3 + 4x2 - 8x - 3) pesos D. (x3 - 4x2 - 8x - 3) pesos
It says it is wrong. This is the question List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) R(x) = 2x5 + 2x3 + 5x2 − 6 x =

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All rational expressions must have restrictions. True or False? Give an example to justify your answer.