1 of 8 0-day streak

Calculate and interpret a quadratic discriminant

Question 1 of 8

No calculator

Consider the quadratic equation shown below

-x^2 + 6x - 7 = 0

Use exact values throughout. Do not solve the equation

(a)3 marks

After writing the equation in zero form, enter a, b and c

\(a\) \(b\) \(c\)

(b)1 mark

Calculate the discriminant Δ = b² − 4ac

\(\Delta\)

Which statement correctly describes the real linear factors?

The quadratic has one repeated linear factor with rational coefficients

The quadratic has two distinct linear factors with rational coefficients

The quadratic has no real linear factors and no real roots

The quadratic has two distinct real linear factors, but their coefficients are not all rational