Question 66

The factors of the expression $$2x^2 - 5x - 12$$ are:

Solution

$$2x^2 - 5x - 12 = 2x^2-8x+3x-12$$

$$=2x\left(x-4\right)+3\left(x-4\right)$$

$$=\left(x-4\right)\left(2x+3\right)$$

$$\therefore\ $$The factors of the expression $$2x^2 - 5x - 12$$ are $$(x — 4)$$ and $$(2x + 3)$$

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