How do you simplify the expression $$\frac{3x^2 - 2xy}{2x}$$ ?

The simplified expression is $$1.5x - y$$ .

What is the quotient of $$\frac{-4a^{7} - 6a^5}{2a^3}$$ ?

The quotient is $$-2a^{4} - 3a^2$$ .

How do you divide $$\frac{15x^9 - 40x^6}{5x^3}$$ ?

The result is $$3x^6 - 8x^3$$ .

What is the result of dividing $$\frac{8x^2 - 4x + 12}{2x}$$ ?

The result is $$4x - 2 + \frac{6}{x}$$ .

What is the remainder in polynomial division?

The remainder is what is left over after dividing a polynomial by another polynomial.

What is synthetic division?

Synthetic division is a simplified method of dividing a polynomial by a linear divisor.

What is the relationship between the degree of the dividend and the divisor in polynomial division?

The degree of the dividend must be greater than or equal to the degree of the divisor for division to be performed.

What does it mean to factor a polynomial?

Factoring a polynomial means expressing it as a product of its factors.

What is the role of the leading coefficient in polynomial division?

The leading coefficient is used to determine the first term of the quotient during polynomial division.

How can you check your work after dividing polynomials?

You can check your work by multiplying the quotient by the divisor and adding the remainder to see if you get the original polynomial.

What is a polynomial?

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

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms.

Divide polynomials Flashcards

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1.

FLASHCARD QUESTION

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

2.

FLASHCARD QUESTION

Front

What is the first step in dividing polynomials?

Back

The first step is to divide the leading term of the dividend by the leading term of the divisor.

Tags

CCSS.HSA.APR.D.6

3.

FLASHCARD QUESTION

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CCSS.HSA.APR.D.6

4.

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CCSS.HSA.APR.D.6

5.

FLASHCARD QUESTION

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CCSS.HSA.APR.D.6

6.

FLASHCARD QUESTION

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CCSS.HSA.APR.D.6

7.

FLASHCARD QUESTION

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CCSS.HSA.APR.D.6

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