which polynomial is prime x 3 3x 2 2x 6 Determine if Prime x 3 3x 2 2x 6 Factor out the greatest common factor from each group Tap for more steps Factor the polynomial by factoring out the greatest common factor Since the polynomial can be factored it is not prime Not prime
Solution A prime polynomial has only two factors 1 and itself It is a polynomial with integer coefficients that cannot be factored into polynomials of lower degrees To find the prime polynomial we will factorize all the polynomials Equation 1 x 3 3x 2 2x 6 can be factored into x 3 x 2 2 Which polynomial is prime x 3 3x 2 2x 6 x 3 2x 2 3x 6 4x 4 4x 3 2x 2 2x 4 x 3 x 2 Solution A prime polynomial is a polynomial which cannot be further factorised Solving each polynomial one by one a x 3 3x 2 2x 6 x x 3 2 x 3 x 2 x 3 x 2 x 3 are the factors
which polynomial is prime x 3 3x 2 2x 6
which polynomial is prime x 3 3x 2 2x 6
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1 Look for factors of 6 that add up to 3 which are 2 and 3 2 Rewrite the middle term using the factors found in 3 x 3 2 x 2 3 x 2 6 x 3 2x 2 3x 2 6 x 3 2 x 2 3 x 2 6 Free Prime Polynomial Calculator Find whether a polynomial function is a prime function step by step
A prime polynomial is a polynomial that can t be factored In order to check which polynomial is prime we need to check which polynomials could be factored x 3 3x 2 2x 6 can be factored as x 3 x 2 2 x 3 2x 2 3x 6 can be factored as x 2 x 2 3 4x 4 4x 3 2x 2 can be factored as 2 x 1 2x 3 1 2x 4 x 3 x 2 Free Prime Polynomial Calculator Find whether a polynomial function is a prime function step by step
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Prime Polynomial Generally Prime Polynomial is said to occur when a polynomial can t be factored with integer rational or real coefficient Where Option A x3 3x2 2x 6 Not prime Option B x3 3x2 2x 6 Answer i s a prime polynomial Step by step explanation Given some polynomials we have to choose the polynomial which is prime A prime polynomial is a polynomial with integer coefficients that cannot be factored lower degree polynomials or simply we can say prime polynomial is a polynomial that can t be factored Option A
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which polynomial is prime x 3 3x 2 2x 6 - Free Prime Polynomial Calculator Find whether a polynomial function is a prime function step by step