Question

ROCONTO

Question
Find the integer values of p and q that satisfy
the following equation for all real values of x:
x3 – 3x2 + px = x(x - 1)(x -q)

Answer 1

Explanation:

x³ - 3x² + px ≡ x(x - 1)(x - q)

x³ - 3x² + px ≡ (x² - x)(x - q)

x³ - 3x² + px ≡ x³ + (-q - 1)x² + qx

By Comparing Coefficients, we have

• -q - 1 = -3
• q = p

Therefpre q = 3 - 1 = 2 and p = q = 2.