Multiply the polynomials (x-1)(x* +x³ +down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a positive integer.+x+1) using a table. Generalize the pattern that emerges by

Multiply the given polynomials using table (x-1)(x4+x3+x2+x+1) x4 x3 x2 x 1 x x5 x4 x3 x2 x…

Answered: Multiply the polynomials (x-1)(x* +x³ +…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 10DE

See similar textbooks

Related questions

Question

Multiply the polynomials (x-1)(x* +x³ +
down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a positive integer.
+x+1) using a table. Generalize the pattern that emerges by

Expert Solution

Step 1

Multiply the given polynomials using table

$(x - 1) (x^{4} + x^{3} + x^{2} + x + 1)$

	$x^{4}$	$x^{3}$	$x^{2}$	x	1
x	$x^{5}$	$x^{4}$	$x^{3}$	$x^{2}$	x
-1	$- x^{4}$	$- x^{3}$	$- x^{2}$	-x	-1

Now we add all the terms that we multiplied in the table

$x^{5} + x^{4} + x^{3} + x^{2} + x - x^{4} - x^{3} - x^{2} - x - 1 C o m b i n e l i k e t e r m s x^{5} + x^{4} - x^{4} + x^{3} - x^{3} + x^{2} - x^{2} + x - x - 1 x^{5} - 1$

Step by step

Solved in 2 steps

Knowledge Booster

$Ring$

Learn more about

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

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage