Factor the following problem completely. \( 10 x^{2}-110 x+280 \)

Step 1. Factor out the Greatest Common Factor (GCF). The given expression is 10x² - 110x + 280. Notice that 10 is a common factor of all terms. Factor it out:   10(x² - 11x + 28) Step 2. Factor the quadratic inside the parentheses. We need to factor the quadratic x² - 11x + 28. Look for two numbers that multiply to +28 (the constant term) and add to -11 (the coefficient of x). The numbers -4 and -7 satisfy these conditions because:   (-4) × (-7) = 28   (-4) + (-7) = -11 Thus, the quadratic factors as:   (x - 4)(x - 7) Step 3. Write the completely factored form. Substitute the factors back into the expression with the GCF:   10(x - 4)(x - 7) This is the completely factored form of the given expression.