What is the quotient when x² - 25 is divided by x - 5?
Answer (1)
The quotient is x + 5Step-by-step SolutionStep 1: Recognize the numerator as a difference of squares[tex] \sf \: x {}^{2} - 25 = (x - 5)(x + 5)[/tex]Step 2: Divide[tex] \sf \dfrac{(x - 5)(x + 5)}{x - 5} [/tex]Cancel the common factor (x - 5)[tex] \boxed{ \sf = x + 5}[/tex]
