Q: What is the factored polynomial of 8p3 plus 1?

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It is: (x+1)(x+6) when factored

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what kind of polynomial is shown 3x3+x+1

Yes

2x2+5x+3 = (2x+3)(x+1) when factored

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It is: (x+1)(x+6) when factored

2x2+5x+3 = (2x+3)(x+1) when factored

0

Divide all terms by 3:- 2x2+5x-3 = (2x-1)(x+3) when factored

It is (x-1)(x-1) when factored

A fifth degree polynomial.

what kind of polynomial is shown 3x3+x+1

Put it into two binomilals that multipy together to create the polynomial. For example: 5K(squared)-2k-7 is factored out as: (5k+1)(-7K+1)

6x2+5x+1 = (3x+1)(2x+1) when factored

Both - a polynomial expression, if you like.

2x2-3x-5 = (2x-5)(x+1) when factored

x2 + 1 can't be factored in the real numbers. If complex numbers are acceptable, it can be factored as (x + i)(x - i).