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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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