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This is due the first lesson in

Factorise
6x^(2)-13 x-15

This is due the first lesson in $\newline$ $1$ . Factorise $6 x^{2}-13 x-15$

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Find derivatives of rational functions

Full solution

Q. This is due the first lesson in

\newline

1

. Factorise

6 x^{2}-13 x-15

Find Numbers: First, we need to find two numbers that multiply to give the product of the coefficient of $x^2$ term $(6)$ and the constant term $(-15)$ , which is $-90$ , and add up to the coefficient of the $x$ term $(-13)$ .
Trial and Error: Looking for two numbers that multiply to $-90$ and add up to $-13$ , we can try different pairs of factors of $90$ . After some trial and error, we find that $-15$ and $6$ work because $-15 \times 6 = -90$ and $-15 + 6 = -9$ , oops, we need $-13$ , not $-9$ , let's try again.

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