Louise begins factoring the polynomial, which has four terms. 8x3 24x2 10x 30 2(4x3 12x2 5x 15) 2[4x2(x 3) 5(x 3)] Which is the completely factored form of her polynomial? 8x2(x 3)2 2x(4x2 5) 2(4x2 5) (x 3) 2(4x2 5) (x 3)2.

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martinez3604 martinez3604

01-02-2022
Mathematics

contestada

Louise begins factoring the polynomial, which has four terms. 8x3 24x2 10x 30 2(4x3 12x2 5x 15) 2[4x2(x 3) 5(x 3)] Which is the completely factored form of her polynomial? 8x2(x 3)2 2x(4x2 5) 2(4x2 5) (x 3) 2(4x2 5) (x 3)2.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-02-10T10:32:56+01:00

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

sweeneyethanjaymes27 sweeneyethanjaymes27 · Answer 2 · 2022-03-15T05:53:24+01:00

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: