Polynomial Functions Zeros and Y-Intercepts

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The graph will cross the x-axis at zeros with ______ multiplicities. The sum of the multiplicities is the degree of the polynomial function.

odd

The right end rises. The left end ______.

falls

The possible rational roots of the polynomial function are the form where is the set of all factors of $a$ and is the set of all factors of $b$.

$p$, $q$

The roots of the polynomial function are and .

-10, 10 Signup and view all the answers

The leading coefficient of the polynomial function is ______.

positive Signup and view all the answers

The degree of the polynomial function is ______.

3 Signup and view all the answers

The end behaviors of the polynomial function are: Left - Rises / Up, Right - Rises / Up, degree – 1 = ______.

5 Signup and view all the answers

The zeros of the polynomial function are: $x=-1$, $x=2$, ______ $x=5$.

and Signup and view all the answers

The y-intercept of the polynomial function is: $x=0$, $y=______$.

10 Signup and view all the answers

The number of turning points of the polynomial function is: ______.

1 Signup and view all the answers

The leading coefficient of the polynomial function is 1, indicating that the function ______.

rises Signup and view all the answers

The polynomial function has a degree of 6, making it an ______ function.

even Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 1. The zeros and y-intercept of a polynomial function can be found by solving the equation ______

P(x) = (x+2)(x-4)^3 Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 2. To find a polynomial function with zeros at 1, -2, and 3, the equation would be ______

P(x) = (x-1)(x+2)(x-3) Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 3. A polynomial function with zeros at 2 and -1, each with a multiplicity of 3, would be represented by the equation ______

P(x) = (x-2)^3(x+1)^3 Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 4. The graph of a polynomial function will touch the x-axis at zeros with ______ multiplicities

even Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 5. The zeros of the polynomial function P(x) = (x+2)(x-4)^3 are and

-2 and 4 Signup and view all the answers

Exercise 2.6 A Exercise 2.6 B 6. The zeros of the polynomial function P(x) = (x-1)(x+2)(x-3) are , , and __

1, -2, and 3 Signup and view all the answers

Polynomial Functions Zeros and Y-Intercepts

Podcast Beta

Questions and Answers

The graph will cross the x-axis at zeros with ______ multiplicities. The sum of the multiplicities is the degree of the polynomial function.

The right end rises. The left end ______.

The possible rational roots of the polynomial function are the form where is the set of all factors of $a$ and is the set of all factors of $b$.

The roots of the polynomial function are and .

The leading coefficient of the polynomial function is ______.

The degree of the polynomial function is ______.

The end behaviors of the polynomial function are: Left - Rises / Up, Right - Rises / Up, degree – 1 = ______.

The zeros of the polynomial function are: $x=-1$, $x=2$, ______ $x=5$.

The y-intercept of the polynomial function is: $x=0$, $y=______$.

The number of turning points of the polynomial function is: ______.

The leading coefficient of the polynomial function is 1, indicating that the function ______.

The polynomial function has a degree of 6, making it an ______ function.

Exercise 2.6 A Exercise 2.6 B 1. The zeros and y-intercept of a polynomial function can be found by solving the equation ______

Exercise 2.6 A Exercise 2.6 B 2. To find a polynomial function with zeros at 1, -2, and 3, the equation would be ______

Exercise 2.6 A Exercise 2.6 B 3. A polynomial function with zeros at 2 and -1, each with a multiplicity of 3, would be represented by the equation ______

Exercise 2.6 A Exercise 2.6 B 4. The graph of a polynomial function will touch the x-axis at zeros with ______ multiplicities

Exercise 2.6 A Exercise 2.6 B 5. The zeros of the polynomial function P(x) = (x+2)(x-4)^3 are and

Exercise 2.6 A Exercise 2.6 B 6. The zeros of the polynomial function P(x) = (x-1)(x+2)(x-3) are , , and __

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Polynomial Functions Zeros and Y-Intercepts

Podcast Beta

Questions and Answers

The graph will cross the x-axis at zeros with ______ multiplicities. The sum of the multiplicities is the degree of the polynomial function.

The right end rises. The left end ______.

The possible rational roots of the polynomial function are the form where ______ is the set of all factors of $a$ and ______ is the set of all factors of $b$.

The roots of the polynomial function are ______ and ______.

The leading coefficient of the polynomial function is ______.

The degree of the polynomial function is ______.

The end behaviors of the polynomial function are: Left - Rises / Up, Right - Rises / Up, degree – 1 = ______.

The zeros of the polynomial function are: $x=-1$, $x=2$, ______ $x=5$.

The y-intercept of the polynomial function is: $x=0$, $y=______$.

The number of turning points of the polynomial function is: ______.

The leading coefficient of the polynomial function is 1, indicating that the function ______.

The polynomial function has a degree of 6, making it an ______ function.

Exercise 2.6 A Exercise 2.6 B 1. The zeros and y-intercept of a polynomial function can be found by solving the equation ______

Exercise 2.6 A Exercise 2.6 B 2. To find a polynomial function with zeros at 1, -2, and 3, the equation would be ______

Exercise 2.6 A Exercise 2.6 B 3. A polynomial function with zeros at 2 and -1, each with a multiplicity of 3, would be represented by the equation ______

Exercise 2.6 A Exercise 2.6 B 4. The graph of a polynomial function will touch the x-axis at zeros with ______ multiplicities

Exercise 2.6 A Exercise 2.6 B 5. The zeros of the polynomial function P(x) = (x+2)(x-4)^3 are ______ and ______

Exercise 2.6 A Exercise 2.6 B 6. The zeros of the polynomial function P(x) = (x-1)(x+2)(x-3) are ______, ______, and ______

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The possible rational roots of the polynomial function are the form where is the set of all factors of $a$ and is the set of all factors of $b$.

The roots of the polynomial function are and .

Exercise 2.6 A Exercise 2.6 B 5. The zeros of the polynomial function P(x) = (x+2)(x-4)^3 are and

Exercise 2.6 A Exercise 2.6 B 6. The zeros of the polynomial function P(x) = (x-1)(x+2)(x-3) are , , and __