2 years ago

Factor x^2+5x-84 please

Mathematics

1 answer:

frutty [35]2 years ago

4 0

Answer:

Step-by-step explanation:

The factors of 84 are: $\pm: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, 7, 12 ...$

7 and 12 can make 5. Since 84 is negative and 5 is positive, the larger number of the two must be the positive number in the factorization. In this case, it is

$(x+12)(x-7)$

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Vinvika [58]

Check the picture below.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}$

$\bf -------------------------------\\\\
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\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)$