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4 years ago

What is the complete factorization of the polynomial shown? 5x^3– 20x^2 – 25X

Mathematics

2 answers:

ira [324]4 years ago

5 0

5x(x^2-4x-5)
cross factor
(x-5)(x+1)

ans: 5x(x-5)(x+1)

viva [34]4 years ago

3 0

Answer:

5x(x + 1)(x - 5)

Step-by-step explanation:

They all share a greatest common factor of 5x so we will factor that out first.

5x(x² - 4x - 5)

Then factor the rest.

5x(x² - 5x + x - 5)

5x(x(x - 5) + 1(x - 5))

5x(x + 1)(x - 5)

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3 years ago

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3 years ago

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4 years ago

Read 2 more answers

What is vaule of y when x=4'5

Degger [83]

Answer:

$y = 2.096$ or $y = \frac{2\sqrt5+6}{5}}$

Step-by-step explanation:

Given

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

$x = \frac{4}{5}$

Required

Find y

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

Substitute $x = \frac{4}{5}$

$y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5$

$y = 5 + \sqrt{4/5} + 0.2 - 4$

Collect like terms

$y = \sqrt{4/5} + 5 + 0.2 - 4$

$y = \sqrt{\frac{4}{5}} + 1.2$

Split the surd

$y = \frac{\sqrt4}{\sqrt5}} + 1.2$

$y = \frac{2}{\sqrt5}} + 1.2$

Rationalize

$y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2$

$y = \frac{2\sqrt5}{5}} + 1.2$

Take LCM and add

$y = \frac{2\sqrt5+1.2*5}{5}}$

$y = \frac{2\sqrt5+6}{5}}$

or solve as:

$y = \frac{2*2.24+6}{5}}$

$y = \frac{10.48}{5}$

$y = 2.096$

7 0

3 years ago