Question

The question mark in the multiplication table below represents a quadratic expression of the form n² + an + b. Work out the values of a and b. Example X x+3 x+2 x+1 x²+5x+6 x² + 4x +3 x+4 x²+6x+8 x²+5x+4 ? n²-9 n²-9n+20 n²-n-12 4​

Answer 1

The values of a and b in the quadratic expression n² + an + b are a = 5 and b = 6.

Step-by-step explanation:

The quadratic expression in the multiplication table represents a quadratic equation of the form n² + an + b.

To find the values of a and b, we can use the values in the table and solve for n using the quadratic formula.

Let's take the example where n = 4: (4)² + a(4) + b = 4² + 4a + b = ?

Using the values from the table, we have: 4² + 5(4) + 6 = 16 + 20 + 6 = 42. So, a = 5 and b = 6.

Therefore, the values of a and b in the quadratic expression n² + an + b are a = 5 and b = 6.