(RE)vision of Polynomial Concepts

(RE)vision of Polynomial Concepts

revisión de conceptos polinomiales

End Behavior

Comportamiento final

Even degree - Incluso grado

blue- positive leading coefficient;

coeficiente principal positivo

red - negative leading coefficient;

coeficiente principal negativo

Odd degree - Grado impar

Blue - positive leading coefficient;

coeficiente principal positivo

Red - negative leading coefficient;

coeficiente principal negativo

Multiple Choice

What is the leading coefficient?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the leading coefficient?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the leading coefficient?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the leading coefficient?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the degree?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the degree?

• Positive

• Negative

• Odd

• Even

Multiple Choice

What is the degree?

• Positive

• Negative

• Odd

• Even

Multiple Choice

Is the leading coefficient for the polynomial in the image positive or negative?

• Negative

• Positive

• Cannot be determined

Multiple Choice

What is the degree of the polynomial shown in the image?

• 2

• 4

• 3

• 6

Multiple Choice

Is the leading coefficient for the polynomial shown positive or negative?

• Negative

• Positive

• Cannot be determined

Turning Points

Puntos de inflexión

Maximums & Minimums

Máximos y Mínimos

TURNING POINTS

Multiple Choice

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

Multiple Choice

How many turning points (maximums and minimums) are in the picture?

• 2

• 3

• 4

• 5

Multiple Choice

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Multiple Choice

Terms in a polynomial are separated by what?

• A

  Parenthesis

• B

  Multiplication/

  Division

• C

  Constants

• D

  Addition/

  Subtractraction

Multiple Choice

What is the relative maximum value?

• y = 4

• y = 2

• y = 1

• y = -1

Multiple Choice

What is the minimum value of the quadratic function?

• -3

• -1

• All real numbers

• 1

Multiple Choice

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Multiple Choice

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Roots, x-intercepts, & Zeroes

• Raíces, intersecciones con el eje x y ceros

• Where the function crosses or bounces off the x-axis

• Donde la función cruza o rebota en el eje x

Find the zeroes in factored form

zeroes at 0, 1 and -2

Multiple Choice

What are the x-intercepts of the following function?

y = 2(x - 1)(x +3)(x - 4)

• 1, 3 and 4

• 2, 1, -3, and 4

• -1, 3, and -4

• 1, -3, and 4

Multiple Choice

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

• (x-1)(x+3)(x+7)

• (x+1)(x-3)(x-7)

• -x² + 3x + 7

• (x-1)

Multiple Choice

What are the zeros in (x-5)(x+4)

• 4 and -5

• 5 and -4

• -4 and -5

• no zeros

Multiple Choice

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

• (x-1)(x+3)(x+7)

• (x+1)(x-3)(x-7)

• -x² + 3x + 7

• (x-1)

Multiple Choice

Solve for the values of x:

(x + 2)(x - 3) = 0

• { 2, 3 }

• { -2, -3 }

• { 2, 3 }

• { -2, 3 }

Multiple Choice

Solve for the values of x:

(x - 5)(x - 1) = 0

• { 5, 1 }

• { 5, -1 }

• { -5, 1 }

• { -5, -1 }

Poll

How do you feel about these polynomial concepts?

• red-irritated

• orange-kind of sad

• yellow-OK

• blue-pretty good

• green-really good.