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Absolute value, polynomials, and radicals

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Please help with the attached problems and show work so that I can understand the steps.

Calculate the value of |3.7| + |-2.1|. (do not include any absolute value symbols.)

Calculate the distance between the points and on the number line. Show work.

Write the interval notation corresponding to the set notation {x | x < 3}.
(It can be helpful to make a graph, but no graph is required.)

Compute . Show some work. Write the answer using scientific notation

Perform the indicated operations and simplify: (2x - 1)(x + 5) - (x - 3)2 . Show work.

Factor. (Work not required to be shown).

(a) 3x2 - 11x + 10
(b) 9x2 - 25
(c) 8x3 + 1

Simplify: Show work.

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Solution Summary

This provides examples of working with absolute value, scientific notation, polynomials, and radicals.

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