0. Review of Algebra

Multiplying Polynomials

Textbook Question
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 5
Textbook Question
Perform the indicated operations. (7m+2n)²
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Textbook Question
In Exercises 23–34, find each product using either a horizontal or a vertical format.(xy+2)(x²y²−2xy+4)
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Textbook Question
Add or subtract, as indicated. $(5 x^{2} - 4 x + 7) + (- 4 x^{2} + 3 x - 5)$
Multiple Choice
Multiply the polynomials using FOIL.
$$\left$(x^2-3x$\right$)$\left$(2x+8$\right$)$
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Textbook Question
Find each product. $4 x^{2} (3 x^{3} + 2 x^{2} - 5 x + 1)$
Textbook Question
In Exercises 1–8, multiply the monomials.(3x²)(5x⁴)
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Textbook Question
In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers.(x³ + 7xy − 5y²) − (6x³ − xy + 4y²)
Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(y³ + 3)(y³ − 3)
Textbook Question
Perform the indicated operations. $(x^{4} - 3 x^{2} + 2) - (- 2 x^{4} + x^{2} - 3)$
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Textbook Question
The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².
Use special products to evaluate each expression. 63 x 57
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Textbook Question
In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers.(7y²ⁿ + yⁿ − 4) − (6y²ⁿ − yⁿ − 1)
Textbook Question
Find each product. (2z-1)(-z²+3z-4)
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Multiple Choice
Multiply the polynomials using special product formulas.
$$\left$(3x+5$\right$)$\left$(3x+5$\right$)$
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Textbook Question
Find each product. [(4y-1)+z]²