How do you find the zeros of the polynomial $$h(x) = x(x - 8)$$ ?

Set the polynomial equal to zero: $$x(x - 8) = 0$$ . The solutions are $$x = 0$$ and $$x = 8$$ .

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

If $$r$$ is a zero of a polynomial $$f(x)$$ , then $$(x - r)$$ is a factor of $$f(x)$$ .

What is the polynomial function for the zeros 0 and 8?

The polynomial function can be expressed as $$h(x) = x(x - 8)$$ .

What are the zeros of the polynomial $$f(x) = (x - 1)(x + 3)$$ ?

The zeros are $$x = 1$$ and $$x = -3$$ .

What does it mean for a polynomial to be graphed?

Graphing a polynomial involves plotting points that represent the values of the polynomial for different values of x, showing the shape and behavior of the polynomial function.

How can you identify the zeros of a polynomial from its graph?

The zeros of a polynomial can be identified as the x-intercepts of the graph, where the graph crosses the x-axis.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient determines the end behavior of the polynomial's graph. If it is positive, the graph rises to the right; if negative, it falls to the right.

What is the standard form of a polynomial?

The standard form of a polynomial is written as $$a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ , where $$a_n$$ is the leading coefficient and $$n$$ is the degree.

What is the difference between a polynomial and a rational function?

A polynomial is a function that consists only of non-negative integer powers of x, while a rational function is a ratio of two polynomials.

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Math

Algebra

Graphs Of Polynomials

Graphs of Polynomials

Flashcard

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7C, HSA.APR.B.2, HSA.APR.B.3

Standards-aligned

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FLASHCARD QUESTION

Front

What is a polynomial?

Back

FLASHCARD QUESTION

Front

What are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of x that make the polynomial equal to zero. They are also known as the roots of the polynomial.

Tags

CCSS.HSF-IF.C.7C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7C

FLASHCARD QUESTION

Front

What does it mean for a polynomial to have a zero at the origin?

Back

Tags

CCSS.HSF-IF.C.7C

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

FLASHCARD QUESTION

Front

What is a factor of a polynomial?

Back

Tags

CCSS.HSA.APR.B.2

FLASHCARD QUESTION

Front

How do you determine if a number is a zero of a polynomial?

Back

To determine if a number is a zero of a polynomial, substitute the number into the polynomial. If the result is zero, then it is a zero.

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