Question

Find the polynomial function of degree 3 whose y intercepts is 2 and x is 2 and 3​

Answer 1

y = x³ - 3x² + 4x - 12

Explanation:

We are told that the polynomial intercept is 3 degree and has it's intercepts at 2, 2 and 3.

Now, at y - intercept, y = 0m

Thus, the polynomial is;. (x - 2)(x - 2)(x - 3) = 0.

This gives;

(x² - 4x + 4)(x - 3) = 0

This gives;

x³ - 12x + 4x - 3x² + 12x - 12 = 0

x³ - 3x² + 4x - 12 = 0