2 Degree Equation Quiz

What is the general form of a 2 degree equation?

• 2x^2 + 3x + 4 = 0

• 4x^2 - 2 = 0

• ax^2 + bx + c = 0

• 3x^2 - 5x = 0

What are the coefficients of x^2, x and the constant term in a 2 degree equation?

• Coefficient of y^2, coefficient of y, and constant term

• Exponent of x^2, exponent of x, and variable term

• Value of x^2, value of x, and variable term

• Coefficient of x^2, coefficient of x, and constant term

What is the discriminant of a 2 degree equation and how is it used to determine the nature of roots?

• It is used to determine the coefficient of the equation

• It is used to determine the sum of the roots

• It is used to determine if the roots are real and distinct, real and equal, or complex.

• It is used to determine the product of the roots

Solve the equation 2x^2 + 3x - 2 = 0

• x = 0.5 or x = -2

• x = 1 or x = -2

• x = 3 or x = -4

• x = 0 or x = -1

What are the different methods to solve a 2 degree equation?

• Subtracting the coefficients, dividing by the constant term, taking the square root of the discriminant

• Finding the average of the coefficients, dividing by the constant term, multiplying by the square root of the discriminant

• Multiplying the coefficients, dividing by the constant term, adding the square root of the discriminant

• Factoring, quadratic formula, completing the square

What is the relationship between the roots and coefficients of a 2 degree equation?

• Pythagoras theorem

• Newton's laws of motion

• Law of Sines

• Vieta's formulas

What is the graphical representation of a 2 degree equation?

• Parabola

• Straight line

• Circle

• Hyperbola

How can we determine the number of real roots of a 2 degree equation using the discriminant?

• Calculate the discriminant using the formula b^2 - 4ac

• Calculate the square root of the coefficients

• Add the coefficients of the equation

• Divide the coefficients of the equation

What is the sum and product of the roots of a 2 degree equation?

• The sum of the roots is -c/b and the product of the roots is a/b

• The sum of the roots is a/c and the product of the roots is b/a

• The sum of the roots is -b/a and the product of the roots is c/a

• The sum of the roots is a/b and the product of the roots is -c/a