0. Review of Algebra

Polynomials Intro

Textbook Question
In Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between the product of six and a number and negative two times the number
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(x + 5)(x − 5)
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Textbook Question
Perform the indicated operations. See Examples 2–6. (x^4-3x^2+2) - (-2x^4+x^2-3)
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(1 − y⁵)(1 + y⁵)
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Textbook Question
In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x+5)/(x^2−25)
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Multiple Choice
Perform the indicated operation.
$\left(x^3+3x^2-7x\right)+2\left(x^3-5x^2+9x+4\right)$
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Multiple Choice
Perform the indicated operation.
$\left(-2x^4+10x^3+6x-3\right)-\left(x^4-7x^2+8x+5\right)$
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Textbook Question
Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)^3 for x=4
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Textbook Question
In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. 7/(x−3)
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Textbook Question
In Exercises 1–8, multiply the monomials.(3x²y⁴)(5xy⁷)
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Textbook Question
In Exercises 1–8, multiply the monomials.(−3xy²z⁵)(2xy⁷z⁴)
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Textbook Question
In Exercises 5–8, find the degree of the polynomial. 3x^2−5x+4
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Textbook Question
Perform the indicated operations. (2x^2-x)+(x^2+4x)
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Textbook Question
In Exercises 5–8, find the degree of the polynomial. x^2−4x^3+9x−12x^4+63
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Textbook Question
In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (3x−9)/(x^2−6x+9)
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