Question

Factor each polynomial.

y²-10 y+25

Answer 1

(y - 5)²

Explanation:

y² - 10y + 25

consider the factors of the constant term (+ 25) which sum to give the coefficient of the y- term (- 10)

the factors are - 5 and - 5 , since

- 5 × - 5 = + 25 and - 5 - 5 = - 10 , then

y² - 10y + 25

= (y - 5)(y - 5)

= (y - 5)²