Standard Form and Polynomial Characteristics

Which of the following polynomials is written in standard form?

• y = 7x³ − 5x² + 2x + 7

• y = 8 − 4x² + 3x + 2x³

• y = 10x² − 5x⁵ + 2x + 20

• y = 1 + 2x² − 3x³ + 4x⁴

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

• Negative

• Positive

• Cannot be determined

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

• Negative

• Positive

• Cannot be determined

The polynomial given by: y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ will have exactly how many zeroes?

• 5

• 2

• 9

• 8

Put in Standard Form.
12 - 3x³ - 10x - x²

Mathematical Equivalence

ON

Which polynomial is in standard form?

• x²-2x³+4x-1

• 8x-3+5x⁴

• -x⁵+x³-2+3x

• 9x⁵+7x-14

Write the polynomial in standard form.

Mathematical Equivalence

OFF

Which of the following best determines the end behavior of a polynomial?

• The number of terms

• The degree

• The constant term

• The leading coefficient

The degree of the polynomial given by

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ is:

• 8

• 9

• 5

• -4

A polynomial of degree n will have at most how many extrema?

• n − 1

• n + 1

• n

• n/2