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Genrish500 [490]
3 years ago
10

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered?

Mathematics
2 answers:
Serga [27]3 years ago
7 0

Answer:

We can factorize the polynomial using method of grouping terms.

Step-by-step explanation:

Consider the given polynomial 3x^3 + 5x + 6x^2 + 10

We have to find the factoring method that can be considered to solve the given polynomial.

Consider the given polynomial 3x^3 + 5x + 6x^2 + 10

Since, the polynomial involves 4 terms,

So we can factorize the polynomial using grouping terms,

First rearranging in standard form in decreasing order of degrees of x.

3x^3  + 6x^2 + 5x + 10

Grouping two terms together, we get,

=\left(3x^3+6x^2\right)+\left(5x+10\right)

Now taking 3x^2 common from first two and 5 from last two , we have,

=3x^2\left(x+2\right)+5\left(x+2\right)

Now, taking (x+2) common, we have,

=\left(x+2\right)\left(3x^2+5\right)

3x^3 + 5x + 6x^2 + 10=\left(x+2\right)\left(3x^2+5\right)

Thus, We can factorize the polynomial using method of grouping terms.

                                             

Alexus [3.1K]3 years ago
5 0
Hello,

1) order the terms:

3x^3+6x^2+5x+10

2) method: grouping 2 to 2 the terms:

=(3x^3+6x^2)+(5x+10)
=3x^2(x+2)+5(x+2)=(x+2)(3x^2+5)

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