Polynomial Basics & Zeros

Identify the terms in the polynomial: 3x^2 + 5x - 7

• 3x^2, -5x, -7

• 3x^2, 5x, -7

• 3x^2, 5x, 0

• 3x^2, 5x, 7

Find the zeros of the polynomial: 2x^2 - 8x + 6

• x = 1, x = 3

• x = -1, x = -3

• x = 2, x = 4

• x = 0, x = 6

What is the degree of the polynomial: 4x^3 - 2x^2 + 7x - 1?

• 2

• 5

• 3

• 6

Simplify the expression: (2x^2 + 3x - 5) - (x^2 - 2x + 1)

• x^2 + 3x - 4

• 3x^2 + x - 6

• x^2 + 2x - 3

• x^2 + 5x - 6

If a polynomial has a degree of 2, how many zeros can it have at most?

• 2

• 5

• 0

• 3

What is the leading coefficient of the polynomial: -6x^4 + 2x^3 - 5x^2 + 9x - 1?

• 7

• 3

• -6

• -2

Determine the zeros of the polynomial: x^2 - 9

• x = 5, x = -5

• x = 4, x = -4

• x = 2, x = -2

• x = 3, x = -3

Which of the following is not a polynomial: a) 3x^2 + 2x - 1 b) 2/x + 5 c) x^3 - 4x^2 + 2x - 7

• b) 2/x + 5

• x^2 + 1

• 4x^2 + 2x + 3

• 2x^2 - 3x + 1

What is the constant term in the polynomial: 4x^2 + 6x - 3?

• -4

• -3

• 2

• 0

Explain the concept of zeros of a polynomial.

• Zeros of a polynomial are the values of the variable that make the polynomial equal to one.

• Zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

• Zeros of a polynomial are the values of the variable that make the polynomial undefined.

• Zeros of a polynomial are the values of the variable that make the polynomial negative.