Answer:
see explanation
Explanation:
(a)
given
30 + x - x² ← factor out - 1 from each term and rearrange
= - (- 30 - x + x²)
= - (x² - x - 30)
(b)
we require to factorise x² - x - 30
consider the factors of the constant term (- 30) which sum to give the coefficient of the x- term (- 1 )
the factors are - 6 and + 5 , since
- 6 × + 5 = - 30 and - 6 + 5 = - 1
Then
x² - x - 30 = (x - 6)(x + 5)
and
30 + x - x² = - (x - 6)(x + 5) ← in factored form