How do you factor the trinomial $x^{2} - 5 x - 45$ $x^2-5x-45$ ?

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Answer 1 · 2018-04-18T20:32:08

The trinomial $x^{2}$ $x^2$ $-$ $-$ $5 x$ $5x$ $-$ $-$ 45 cannot be simplified or factored any further

What adds to $- 5 x$ $-5x$ and multiplies to $45$ $45$

Factors of $- 5$ $-5$ : $1, - 5$ $1, -5$ , $- 5, 1$ $-5, 1$

Factors of $- 45$ $-45$ : $1, - 45$ $1, -45$ , $- 1, 45$ $-1, 45$ , $9, - 5$ $9,-5$ , $- 5, 9$ $-5, 9$ , $3, - 15$ $3,-15$ , $- 15, 3$ $-15,3$

None of the factors of $- 5$ $-5$ or $45$ $45$ will be able to add to $- 5 x$ $-5x$ and multiply to $45$ $45$

leave the trinomial as is

How do you factor the trinomial x2−5x−45x^2-5x-45?