Polynomial Equations Quiz

What is the degree of a polynomial equation with the highest exponent of 3?

• 4

• 3

• 2

• 1

How many possible roots does a cubic polynomial equation have?

• 3

• 1

• 4

• 2

What method is used to solve a polynomial equation by dividing it into two groups?

• Synthetic Division

• Factoring by Grouping

• Long Division

• Completing the Square

What is the common factor in the expression x^3 + 3x^2 - 4x - 12 when factored by grouping?

• x^2

• x

• 4

• x^3

Which method is used to factor x^2 - 4?

• Synthetic Division

• Sum of Cubes

• Difference of Squares

• Quadratic Formula

What are the roots of the equation x^2 - 4 = 0?

• x = 2, x = -2

• x = 3, x = -3

• x = 4, x = -4

• x = 1, x = -1

What is the first step in synthetic division?

• Add the coefficients

• Bring down the leading coefficient

• Divide the first term by the divisor

• Multiply the divisor by the first term

What is the remainder when the polynomial x^3 - 7x + 6 is divided by x - 1?

• 1

• -1

• 0

• 6

What are the roots of the quadratic equation x^2 + x - 6 = 0?

• x = 6, x = -1

• x = 1, x = -6

• x = 2, x = -3

• x = 3, x = -2

What are the factors of the polynomial x^3 - 7x + 6?

• (x - 1)(x + 3)(x - 2)

• (x + 1)(x - 3)(x + 2)

• (x - 1)(x - 3)(x + 2)

• (x + 1)(x + 3)(x - 2)