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Sagot :
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
The completely factored form of Louise polynomial equation is,
[tex]2[(4x^2+5)(x +3) ][/tex]
Thus the option 3 is the correct option.
What is polynomial equation?
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
Given information-
The given polynomial equation in the problem is,
[tex]8x^3 +24x^2 +10x+ 30[/tex]
The given polynomial has the highest power of variable is three. Thus it is a trinomial equation.
Louise then took out the common number 2 from the equation as,
[tex]2[4x^3 +12x^2 +5x+ 15][/tex]
In the third step took out the common number to make the groups as,
[tex]2[4x^2(x +3) +5(x+ 3)][/tex]
Simplify the equation further to get the factors,
[tex]2[(4x^2+5)(x +3) ][/tex]
Hence the completely factored form of Louise polynomial equation is,
[tex]2[(4x^2+5)(x +3) ][/tex]
Thus the option 3 is the correct option.
Learn more about the polynomial equation here;
https://brainly.com/question/2833285
Answer:
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
The completely factored form of Louise polynomial equation is,
Thus the option 3 is the correct option.
What is polynomial equation?
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
Given information-
The given polynomial equation in the problem is,
The given polynomial has the highest power of variable is three. Thus it is a trinomial equation.
Louise then took out the common number 2 from the equation as,
In the third step took out the common number to make the groups as,
Simplify the equation further to get the factors,
Hence the completely factored form of Louise polynomial equation is,
Thus the option 3 is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/2833285
Step-by-step explanation:
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