Solving Polynomial Equations (2024)

Solving Polynomial Equations (2024)

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial equation?

Back

A polynomial equation is an equation that involves a polynomial expression, which is a mathematical expression consisting of variables raised to whole number powers and coefficients.

2.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and is used primarily for polynomials.

3.

FLASHCARD QUESTION

Front

How do you determine if a binomial is a factor of a polynomial using synthetic division?

Back

If the remainder of the synthetic division is zero, then the binomial is a factor of the polynomial.

4.

FLASHCARD QUESTION

Front

What is the significance of the remainder in synthetic division?

Back

The remainder indicates whether the divisor is a factor of the dividend. A remainder of zero means the divisor is a factor.

5.

FLASHCARD QUESTION

Front

What is the relationship between roots and factors of a polynomial?

Back

If r is a root of the polynomial f(x), then (x - r) is a factor of f(x).

6.

FLASHCARD QUESTION

Front

What is the conjugate root theorem?

Back

If a polynomial has real coefficients and a complex root a + bi, then its conjugate a - bi is also a root.

7.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

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