Question

write the polynomial in standard form [x+2/3] [x+3/4]

Answer 1

Hey _____
here is your answer _____

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$(x + \frac{2}{3} )(x + \frac{3}{4}) \\ {x}^{2} + \frac{2}{3} x + \frac{3}{4} x + \frac{17}{12} \\ {x}^{2} + \frac{17}{12} x + \frac{17}{12}$
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Answer 2

The polynomial in standard form $[x+\dfrac{2}{3}] [x+\dfrac{3}{4}]$ is $x^{2} +\dfrac{17}{12}x+\dfrac{1}{2}$.

Step-by-step explanation:

We have,

$[x+\dfrac{2}{3}] [x+\dfrac{3}{4}]$

To find, the polynomial in standard form = ?

We know that,

$(x+a)(x+b)=x^{2} +(a+b)x+ab$

∴ $[x+\dfrac{2}{3}] [x+\dfrac{3}{4}]$

Here, $a = \dfrac{2}{3}$ and $b=\dfrac{3}{4}$

$=x^{2} +(\dfrac{2}{3}+\dfrac{3}{4})x+(\dfrac{2}{3})(\dfrac{3}{4})$

$=x^{2} +\dfrac{17}{12}x+\dfrac{1}{2}$

Hence, the polynomial in standard form $[x+\dfrac{2}{3}] [x+\dfrac{3}{4}]$ is $x^{2} +\dfrac{17}{12}x+\dfrac{1}{2}$.