Dennis used a method for squaring two-digit numbers that end in 5. The method states to find the values that end in O before and after this number, multiply them and combine the result with the square of 5. If x represents the two- digit number to be squared, which of the following polynomial identities can be used to justify this method? A 2² = (z – 5)² + 5² 2² = (x – 5) (x + 5) – 5² %3D r² = (x – 5) – 5² 2² = (z – 5) (x + 5) +5 B

Dennis used a method for squaring two-digit numbers that end in 5. The method states to find the values that end in O before and after this number, multiply them and combine the result with the square of 5. If x represents the two- digit number to be squared, which of the following polynomial identities can be used to justify this method? A 2² = (z – 5)² + 5² 2² = (x – 5) (x + 5) – 5² %3D r² = (x – 5) – 5² 2² = (z – 5) (x + 5) +5 B

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter7: Polynomial Equations And Factoring

Section: Chapter Questions

Problem 15CT

See similar textbooks

Similar questions

What is an algebra model for a real world situation? If Shellie’s wages are $12 an hour, find a model for the amount W that Shellie earns after working x Hours.
Construction Management A square-shaped foundation for a building with 100foot sides is reduced byx feet on one side and extended by x feet on an adjacent side. (a) The area of the new foundation is represented by 100x100+x. Find this product. (b) Does the area of the foundation increase, decrease, or stay the same? Explain. (c) Use the polynomial in part (a) to find the area of the new foundation when x= 21.
In Exercises 2-6, fill in the blanks. A shortcut for long division of polynomials is ,in which the divisor must be of the form xk.
CONCEPTS To add polynomials, we add terms. So (3x2+2x+4)+(8x2x+1)=.