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Salsk061 [2.6K]
3 years ago
15

6x2y − 3xy − 24xy2 + 12y2 Rewrite the expression so the GCF is factored completely

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer :

3y(4x^2 - x- 8xy + 4y)

Step-by-step explanation:

This problem bothers factorization.

The GCF, greatest common factor is the Term That has the largest factor that can divide through all the terms in the polynomial

In the expression

6x^2y − 3xy − 24xy^2 + 12y^2

We can observe that the terms 3 and y are common throughout the terms of the polynomial

Let's factor 3y out we have

3y(4x^2 - x- 8xy + 4y)

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Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99
Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

f(x) is a fourth order polynomial, so it has 4 roots.  Use rational root theorem to find possible rational roots.

±99, ±11, ±9, ±3, ±1

By trial and error, the zeros are -11, -3, 1, and 3.

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

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What is the simplified form of 144x^36?<br> O 12x6<br> O 12x18<br> O 72x6<br> 072x18
bearhunter [10]
The answer for the question is option 2
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astraxan [27]
What units are you using
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3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

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Dana can rent a van for either $80 with unlimited mileage or $45 plus 40 cents per mile. For what numbers of miles traveled woul
myrzilka [38]

Answer:

88 miles.

Step-by-step explanation:

$.40 x 88(miles) = $35.2

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Now, the reason it is 88 is because 87 miles would equal

$.40 x 87 = $34.8 (total is $79.80) so that would be $.20 short.

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