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elena55 [62]
3 years ago
14

Factor 6x4 - 5x2 + 12x2 – 10 by grouping. What is the resulting expression? O (6x + 5)(x2 - 2) O (6x - 5)(x2 + 2) (6x2 + 5)(x -

2) (6x2 - 5)(x2 + 2) ​
Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

6x4 - 5x2 + 12x2 – 10 simplified is =6x^4+7x^2−10

6x4 - 5x2 + 12x2 – 10  factored is =(6x2−5)(x2+2)

Step-by-step explanation:

brainliest please?

Mila [183]3 years ago
6 0

Answer:

(6x^{2} - 5)(x^{2} +2)

Step-by-step explanation:

Always arrange in descending powers first.  In this case that is already done.

Try grouping the first two terms and the last two terms first

(6x^{4} - 5x^{2} ) + (12x^{2}  - 10)   Factor out the GCF of both groups

x^{2} (6x^{2}  - 5) + 2(6x^{2} - 5)\\     Note that 6x^{2} - 5 is a factor in each group. That's    

                                           good

Now treat 6x^{2} - 5 as a GCF and you get

(6x^{2} - 5)(x^{2} +2)

Since  6x^{2} - 5  and  x^{2} +2  are both prime, we are finished.  

You can check to see if you are correct by FOILing the answer you got.  OK?

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Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
lys-0071 [83]

<em>Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work. </em>

<em>But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.</em>

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

                            2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2

Lets divide the expression by 2x^2\:-\:3x\:+\:1

Solution Steps:

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}

Factorizing

2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}

Factorizing

2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}

\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2

x^2+5x-2

Thus,

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

#learnwithBrainly

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