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3 years ago

Factor completely. n² - 5n + 4

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:

(n-4)(n-1)

Step-by-step explanation:

n2 -5n +4

n2- n - 4n - 4

n(n-1) - 4(n-1)

(n-4)(n-1)

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Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?

likoan [24]

$\mathrm{Use\:the\:rational\:root\:theorem}$

$a_0=15,\:\quad a_n=2$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}$

$-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3$

$\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5$

$=\left(x+3\right)\left(2x^2-11x+5\right)$

$Factor: 2x^2-11x+5$

$2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)$

$=x\left(2x-1\right)-5\left(2x-1\right)$

$2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)$

$\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:}$

thus zeros of f(x) is

$x=-3,\:x=5,\:x=\frac{1}{2}$

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3 years ago

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PLEASE HELP!!! ILL GIVE BRAINLIEST

MakcuM [25]

Answer:

*gives help*

Step-by-step explanation:

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3 years ago

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Each stew pot can hold 6 liters of stew if there are 5 stew pots how much stew could be made at one time

m_a_m_a [10]

Answer:

Step-by-step explanation:

5p(6L/p)=30L

30 liters can be made with the five pots.

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3 years ago

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The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming co

salantis [7]

Answer:

(b) 0.30 atm

Step-by-step explanation:

Given data

Initial pressure= 1.2atm

Initial volume= 1.0L

Final volume= 4.0L

Final pressure= ???

Let us apply the gas formula to find the Final pressure

P1V1= P2V2

Substitute

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Divide both sides by 4

1.2/4= x

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Hence the final pressure is 0.3 atm

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3 years ago

Can someone please help me and show the steps? Thank you

Maksim231197 [3]

0.348 is the answer

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3 years ago

Factor completely. n² - 5n + 4​

Factor completely. n² - 5n + 4