Rewrite the polynomial $$\text{(3x^2 - 4x - 5)(2x^2 + 3x - 5)}$$ in standard form.

$$6x^4 + x^3 - 37x^2 + 5x + 25$$ .

Rewrite the polynomial $$3(x^3 + 4 - 2xy + x^2y) - (15 + 7x + 12xy)$$ in standard form.

$$3x^3 + 3x^2y - 18xy - 7x - 3$$ .

How do you solve the equation $$\frac{2}{3}(x - 3) = 8$$ for x?

Multiply both sides by 3, then add 3 to both sides, resulting in $$x = 15$$ .

What is a polynomial?

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

What is a term in a polynomial?

A term in a polynomial is a single mathematical expression that can be a constant, a variable, or a product of constants and variables.

What are like terms in a polynomial?

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms.

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

What is the difference between a monomial, binomial, and trinomial?

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

How do you combine like terms in a polynomial?

You add or subtract the coefficients of the like terms while keeping the variable part the same.

What is the zero polynomial?

The zero polynomial is the polynomial that has all coefficients equal to zero, represented as $$0$$ .

Pre-Assessment 10 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees, from the highest degree to the lowest.

2.

FLASHCARD QUESTION

Front

How do you find the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

Back

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