What is the quotient of (5x² - 22x + 8) ÷ (x - 4)?

Solution:

Given, (5x² - 22x + 8) ÷ (x - 4)

We have to find the quotient.

On factorising 5x² - 22x + 8,

5x² - 22x + 8 = 5x² - 20x - 2x + 8

= 5x(x - 4) - 2(x - 4)

= (5x - 2) (x - 4)

Now, (5x² - 22x + 8) ÷ (x - 4) = (5x - 2)(x - 4) / (x - 4)

Canceling out common term,

= (5x - 2)

Therefore, the required quotient is (5x - 2).

What is the quotient of (5x² - 22x + 8) ÷ (x - 4)?

Summary:

The quotient of (5x² - 22x + 8) ÷ (x - 4) is (5x - 2).