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Writing Polynomials given Zeros/Roots

Writing Polynomials given Zeros/Roots

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSN.CN.C.9, HSA.APR.B.2

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

2.

FLASHCARD QUESTION

Front

What does it mean for a polynomial to have zeros/roots?

Back

Zeros or roots of a polynomial are the values of the variable that make the polynomial equal to zero.

Tags

CCSS.HSF-IF.C.7C

3.

FLASHCARD QUESTION

Front

If a polynomial has a zero at x = r, what can be said about the factor of the polynomial?

Back

If x = r is a zero of the polynomial, then (x - r) is a factor of the polynomial.

Tags

CCSS.HSA.APR.B.2

4.

FLASHCARD QUESTION

Front

What is the relationship between real and imaginary roots of polynomials?

Back

Imaginary roots of polynomials always come in conjugate pairs. If a + bi is a root, then a - bi is also a root.

Tags

CCSS.HSN.CN.C.9

5.

FLASHCARD QUESTION

Front

How do you write a polynomial given its zeros?

Back

To write a polynomial given its zeros, multiply the factors corresponding to each zero. For example, if the zeros are r1, r2, and r3, the polynomial is P(x) = k(x - r1)(x - r2)(x - r3), where k is a constant.

Tags

CCSS.HSA.APR.B.3

6.

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.

7.

FLASHCARD QUESTION

Front

What is the least degree polynomial with given zeros?

Back

The least degree polynomial with given zeros is the polynomial formed by multiplying the factors corresponding to each zero, without any repeated factors.

Tags

CCSS.HSF-IF.C.7C

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