Answer:
x²(x - 1)(x - 13)
Step-by-step explanation:
[tex]x^{4}[/tex] - 14x³ + 13x² ← factor out x² from each term
= x²(x² - 14x + 13) ← factor the quadratic
consider the factors of the constant term (+ 13) which sum to give the coefficient of the x- term (- 14)
the factors are - 1 and - 13 , since
- 1 × - 13 + = 13 and - 1 - 13 = - 14 , then
x² - 14x + 13 = (x - 1)(x - 13)
and
[tex]x^{4}[/tex] - 14x³ + 13x² = x²(x - 1)(x - 13)
