4.Quadratic Equations Quiz

What is the standard form of a quadratic equation?

• ax^2 + bx + c = 0, a ≠ 0

• ax^2 + bx + c = 0, a = 0

• ax^2 - bx + c = 0, a ≠ 0

• ax^2 + bx - c = 0, a ≠ 0

When is a real number α said to be a root of the quadratic equation ax^2 + bx + c = 0?

• If aα^2 - bα - c = 0

• If aα^2 - bα + c = 0

• If aα^2 + bα + c = 0

• If aα^2 + bα - c = 0

How can the roots of the quadratic equation ax^2 + bx + c = 0 be found if it can be factorized?

• By dividing the factors

• By equating each factor to zero

• By adding the factors

• By multiplying the factors

What is the quadratic formula for finding the roots of a quadratic equation?

• x = (-b ± √(b^2 - 4ac)) / (2a)

• x = (-b ∓ √(b^2 - 4ac)) / (2a)

• x = (b ± √(b^2 + 4ac)) / (2a)

• x = (b ∓ √(b^2 - 4ac)) / (2a)

When does a quadratic equation have two distinct real roots?

• b^2 - 4ac < 0

• b^2 - 4ac = 0

• b^2 + 4ac > 0

• b^2 - 4ac > 0

What is the nature of the roots of a quadratic equation if b^2 - 4ac = 0?

• Two equal roots

• Two distinct real roots

• Cannot be determined

• No real roots

What is the nature of the roots of a quadratic equation if b^2 - 4ac < 0?

• Cannot be determined

• No real roots

• Two equal roots

• Two distinct real roots

What is the nature of the roots of a quadratic equation if b^2 - 4ac > 0?

• Cannot be determined

• No real roots

• Two equal roots

• Two distinct real roots

What is the condition for using the quadratic formula to find the roots of a quadratic equation?

• b^2 - 4ac = 0

• b^2 - 4ac ≥ 0

• b^2 - 4ac < 0

• b^2 + 4ac ≥ 0

What are the zeroes of the quadratic polynomial ax^2 + bx + c = 0?

• The constant term of the quadratic equation ax^2 + bx + c = 0

• The roots of the quadratic equation ax^2 + bx + c = 0

• The factors of the quadratic equation ax^2 + bx + c = 0

• The coefficients of the quadratic equation ax^2 + bx + c = 0