Alg 2 - Zeros vs. Factors

Front

What is a zero of a polynomial function?

Back

A zero of a polynomial function is a value of x for which the function evaluates to zero. It is also known as a root of the polynomial.

Tags

CCSS.HSF-IF.C.7C

Front

What is a factor of a polynomial?

Back

A factor of a polynomial is a polynomial that divides the original polynomial without leaving a remainder. If (x - r) is a factor, then r is a zero of the polynomial.

Tags

CCSS.HSA.APR.B.2

Front

How do you find the zeros of a polynomial given its factors?

Back

To find the zeros of a polynomial, set each factor equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7C

Front

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

Back

The zeros of a polynomial correspond to the values of x that make the polynomial equal to zero, while the factors are the expressions that can be multiplied to obtain the polynomial.

Tags

CCSS.HSF-IF.C.7C

Front

What is the corresponding solution of the factor (4x + 3)?

Back

x = -3/4.

Tags

CCSS.HSA.APR.B.2

Front

What is the corresponding factor of the solution x = 2?

Back

(x - 2).

Tags

CCSS.HSA.APR.B.2

Front

What is the corresponding factor of the solution x = -5/4?

Back

(4x + 5).

Tags

CCSS.HSA.APR.B.2

Front

What is the corresponding solution of the factor (x + 8)?

Back

x = -8.

Tags

CCSS.HSA.APR.B.2

Front

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

Back

Substitute the number into the polynomial. If the result is zero, then it is a zero of the polynomial.

Tags

CCSS.HSF-IF.C.7C

Front

What is the significance of finding zeros in polynomial functions?

Back

Finding zeros helps in graphing the polynomial function, as they indicate the x-intercepts of the graph.