Polynomials

What is the degree of the polynomial 3x^2 + 5x - 7?

• 3

• 2

• -2

• 4

Factorize the polynomial x^2 - 4x + 4.

• (x - 1)^2

• (x - 2)^2

• (x + 2)^2

• x^2 - 2x + 4

Simplify the expression (2x^3 + 3x^2 - x) - (x^3 + 2x^2 - 4x).

• x^3 + x^2 - 5x

• 3x^3 + 5x^2 - 3x

• x^3 + 2x^2 - 3x

• 2x^3 + x^2 - 2x

Find the sum of the roots of the polynomial x^2 - 6x + 9.

• 6

• 3

• 9

• 12

What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7x - 1?

• 4

• -2

• 7

• -1

Solve the equation x^2 - 5x + 6 = 0.

• x = 2, 3

• x = 1, 6

• x = -2, -3

• x = 4, 5

Expand and simplify (2x - 3)(x + 4).

• 2x^2 + 5x + 12

• 2x^2 - 5x - 12

• 4x^2 + 5x - 12

• 2x^2 + 5x - 12

What is the constant term in the polynomial 2x^3 + 4x^2 - 3x + 5?

• -3

• 4

• 2

• 5

Determine the product of the roots of the polynomial 2x^2 - 5x + 3.

• 5/2

• 4/3

• 3/2

• 1/3

Find the value of k if (x - 2) is a factor of the polynomial x^2 - kx + 2.

• 8

• 6

• 2

• 4