Will mark brainliest! pls help<br> JKLM, what is the value of M

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

2 years ago

Read 2 more answers

CAN YALL ANSWER MY BROTHERS HW BEC HIS DEADAZZ DOENST WANT TO BTW HE IS IN 3RD GRADE

nadezda [96]

You should try to retake the picture can’t c anything

4 0

2 years ago

Read 2 more answers

Helpppppppp me plssss

lora16 [44]

Answer:

4x(3x^2-x+5)

Step-by-step explanation:

12x^3-4x^2+20x

=4x(3x^2-x+5)

8 0

2 years ago

What are the domain and range of the function f(x)= 1/4(x^3+6^2+5x-4)

alexandr1967 [171]

Answer:

it is 300

Step-by-step explanation:

because of you get it and dived it den you will time it so you will get to 300

4 0

2 years ago

The square below represents one whole.

natulia [17]

Fraction: 2/100
Decimal: 0.02
Percent: 2%

8 0

2 years ago

Will mark brainliest! pls help JKLM, what is the value of M