Solving polynomials

Solving polynomials

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA.APR.D.6, HSN.RN.B.3

+2

Standards-aligned

Created by

Wayground Content

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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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 3x^3 - 4x^2 + 2, the degree is 3.

3.

FLASHCARD QUESTION

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of the variable that makes the polynomial equal to zero. For example, if f(x) = x^2 - 4, then x = 2 and x = -2 are zeros.

Tags

CCSS.HSF-IF.C.7C

4.

FLASHCARD QUESTION

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution (or root) of a polynomial equation with integer coefficients is of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

5.

FLASHCARD QUESTION

Front

How do you factor a quadratic polynomial?

Back

To factor a quadratic polynomial of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b. Rewrite the polynomial using these numbers and factor by grouping.

6.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor of the form (x - c). It is faster and requires less writing.

Tags

CCSS.HSA.APR.D.6

7.

FLASHCARD QUESTION

Front

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

Back

The zeros of a polynomial correspond to the values of x that make the polynomial equal to zero, and each zero (r) can be expressed as a factor of the polynomial in the form (x - r).

Tags

CCSS.HSF-IF.C.7C

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