Quadratic Formula Quiz

What is the first step in solving a quadratic equation using the quadratic formula?

• Divide the equation by the constant term

• Multiply all terms by the coefficient of x^2

• Set the equation equal to zero

• Add the coefficients of x and the constant

In the quadratic equation 2x^2 - 11x - 21 = 0, what is the value of 'a'?

• -11

• -21

• 11

• 2

What is the result of the expression under the square root in the first example?

• 169

• 289

• 196

• 144

What are the solutions for the equation 2x^2 - 11x - 21 = 0?

• x = 7 and x = -3/2

• x = 3 and x = -1

• x = 6 and x = -4

• x = 5 and x = -2

In the second example, what is the value of 'b' in the equation 4x^2 + 7x + 1 = 0?

• 4

• 1

• -1

• 7

What is the prime factorization of 65 in the second example?

• 5 and 13

• 2 and 33

• 3 and 22

• 7 and 9

In the third example, what is the value of 'a' in the equation -2x^2 + 4x + 11 = 0?

• 2

• -2

• 4

• 11

What is the simplified form of the square root of 104 in the third example?

• √52

• 2√26

• 4√13

• √104

What is the final simplified solution for the equation -2x^2 + 4x + 11 = 0?

• x = 4 ± √52 / 2

• x = 1 ± 2√26 / 2

• x = 3 ± √13 / 2

• x = 2 ± 1√26 / 2

What is the purpose of prime factorization in solving quadratic equations?

• To eliminate the variable

• To determine the constant term

• To find the value of 'b'

• To simplify the square root