Which binomial below is a factor of the polynomial 3a2+6a-2a-4?

Mathematics

2 answers:

zavuch27 [327]3 years ago

8 0

Answer is = -2(1-2a)

lisabon 2012 [21]3 years ago

4 0

One may note you're kinda missing the factors provided, but anyhow, it factors to

$\bf 3a^2+6a-2a-4\implies (3a^2+6a)-(2a+4)
\\\\\\
3a(a+2)~~-~~2(a+2)\implies \stackrel{common~factor}{(a+2)}[3a-2]$

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Read 2 more answers

G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$