Question

5. Factorise: p2 - 11p +30

Answer 1

(p - 5)(p - 6)

Explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Answer 2

(p - 5)(p - 6)

Explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form