The pair of factors is 9 and -5.
What is a factor?
The factor of a number is another number that can divide the first number without any remainder.
Let, one of the factors is x.
Then, the other factor is = -45/x.
Given,
x + (- 45/x) = 4
⇒ x - 45/x = 4
⇒ x - 45/x - 4 = 0
⇒ x² - 45 - 4x = 0
⇒ x² - 4x - 45 = 0
⇒ x² - 9x + 5x - 45 = 0
⇒ x(x-9) + 5(x-9) = 0
⇒ (x-9) (x+5) = 0
Hence, x = 9, -5.
Learn more about factors here: https://brainly.com/question/16603643
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