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## Answers

Standard form : ax² + bx + c = 0

Where a is the leading coefficient, b is the middle term's coefficient, and c is the constant.

Example:

x² + 10x + 24 = 0

a =1 (leading coefficient); b = 10; c = 24

Factors of 24 (c) are:

a) (8) and (3) ⇒ 8 + 3 = 11 (11 is not equal to 10)

b) (12) and (2) ⇒ 12 + 2 = 12 (12 is not equal to 10)

c) (6) and (4) ⇒ 6 + 4 = 10 (10 is equal to 10)

Therefore the factors of constant is (6) and (4), and the factors of the quadratic equation x² + 10x + 24 = 0 is:

(x + 6) (x + 4) = 0