2.6 Find Rational Zeros

Front

What is another way to say "where a function crosses the x-axis"?

Back

x-intercept, zero, root, all of these.

Tags

CCSS.HSF-IF.C.7C

Front

Use the graph of f(x) to find the real solutions of f(x)=0.

Back

no real solution.

Tags

CCSS.HSF-BF.B.4A

Front

Factor f(x)= x^3 - 2x^2 - 13x - 10 given that (x - 5) is one factor.

Back

(x - 5)(x + 2)(x + 1)

Tags

CCSS.HSA.APR.B.2

Front

What should you add to this problem? (2x^3 + 5x^2 + 9) ÷ (x + 3)

Back

0x.

Tags

CCSS.HSA.APR.D.6

Front

What is the degree of the given function?

Back

5.

Front

Define a rational zero.

Back

A rational zero is a solution to a polynomial equation that can be expressed as a fraction of two integers.

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution of a polynomial equation is of the form ±p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Tags

CCSS.HSA.APR.B.2

Front

How do you determine the possible rational zeros of a polynomial?

Back

List the factors of the constant term and the leading coefficient, then form all possible fractions ±p/q.

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.

Tags

CCSS.HSA.APR.D.6

Front

What does it mean if a polynomial has a degree of 3?

Back

It means the highest exponent of the variable in the polynomial is 3, indicating it can have up to 3 real roots.