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3 years ago

15 x squared -35x+24

Mathematics

1 answer:

icang [17]3 years ago

7 0

Could you make this easier to read, perhaps by ensuring that you have copied the original problem exactly?

What I read, which may or may not be correct, is:

15x^2 - 35x + 24.

I graphed this on my calculator and found that the graph, a parabola opening up, never touches or crosses the x-axis. Thus, the given equation has no real roots.

If you were to find the discriminant, b^2 - 4ac, you'd find that it's negative, which is another strong clue that there are no real roots.

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3 years ago

Divide (x^3-20x+16)/(x-4)

Lorico [155]

$\frac{( x^{3}-20x+16) }{(x-4)}$

Use the rational root theorem:
$a_{o}$ =16, $a_{n}$ =1

The dividers of $a_{o}$ : 1,2,4,8,16
The dividers of $a_{n}$ : 1

Therefore, check the following rational numbers: +- $\frac{1,2,4,8,16}{1}$

$\frac{4}{1}$ is a root of the expression, so factor out x-4

Compute $\frac{ x^{3}-20x+16 }{x-4}$ to get the rest of the equation.

$\frac{(x-4)( x^{2} +4x-4)}{x-4}$

Cancel the common factor:
$x^{2}+4x-4$ is the final answer

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3 years ago

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