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mixas84 [53]
3 years ago
9

Which of the following expressions is a factor of the polynomial x 2 +3/2x-1

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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\frac{4}{12} as a simplified expression = \frac{2}{6}
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Fraction = \frac{1}{3}

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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^

Step-by-step explanation:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

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Use long division to determine the decimal equivalent of fraction with numerator 2 and denominator 3. 0 point 6 bar 0 point 7 ba
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Answer:

The correct answer is A

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Step-by-step explanation:

We want to determine the decimal equivalence of \frac{2}{3}.


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