How do you get an Aculength error on a calculator?

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

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

5 0

3 years ago

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Find the common difference of the arithmetic sequence 4, 10, 16,

DIA [1.3K]

Answer:

10it is 10

Step-by-step explanation:

7 0

3 years ago

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What value of t satisfies the equation t/8-3/4=9/16

Y_Kistochka [10]

The answer to t is t= 21/2

5 0

3 years ago

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Multiply 7. (-5) anotha one -dj khalid

Valentin [98]

Answer:

-35

Step-by-step explanation:

brainliest pleaseee

3 0

3 years ago

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−1 ≤ x/-4 − 3 Solve the inequality. Show all steps.

makkiz [27]

Answer:

≤ − 8

Step-by-step explanation:

-1 ≤ $\frac{x}{-4}$ -3

4 ×(-1) ≤ 4 × $\frac{x}{-4}$ -4×3

-4 × (-1) ≤ -x - 4×3

-4 ≤ -x - 12

x ≤ -12 + 4

x ≤ -8

4 0

2 years ago