Factorise x2+7x−30 completely.
Question
Factorise x2+7x−30 completely.
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Solution
To factorise the quadratic equation x^2 + 7x - 30, we need to find two numbers that multiply to -30 (the constant term) and add to 7 (the coefficient of the x term).
The numbers that satisfy these conditions are 10 and -3 because 10 * -3 = -30 and 10 + -3 = 7.
Therefore, the factorised form of the equation is:
(x + 10)(x - 3)
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