jlynlyn13
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Simplify completely the quantity 6 times x to the 4th power plus 9 times x to the 2nd power plus 12 times x all over 3 times x.

Respuesta :

Answer: 2x^4+3x^2+4

Step-by-step explanation: The expression represented by this word problem is

6x^4+9x^2+12 divided by 3x.

That's pretty straight forward, if you need help with how I got that, please just tell me, don't be afraid to ask.

Then we just simplify that equation.

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Answer:

[tex]2x^3 + 3x + 4[/tex]

Step-by-step explanation:

Given: 6 times x to the 4th power plus 9 times x to the 2nd power plus 12 times x all over 3 times x.

Now let's convert verbal expression to algebraic expression.

= [tex]\frac{6x^4 + 9x^2 +12x}{3x}[/tex]

Now let's factor the numerator [tex]6x^4 + 9x^2 + 12x = 3x(2x^3 + 3x + 4)[/tex]

= [tex]\frac{3x(2x^3 + 3x + 4)}{3x}[/tex]

Now cancel out 3x both in the numerator and the denominator, we get

= [tex]2x^3 + 3x + 4[/tex]

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