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factor 9x^2-5x+7

0 votes
Factor if possible 9x^2-5x+7.

a)factor

b) The polynomial is prime
asked Mar 12, 2014 in ALGEBRA 2 by rockstar Apprentice

1 Answer

0 votes

a) The polynomial 9x 2 - 5x + 7

Compare to it quadratic form  ax 2 + bx + c.

a  = 9 , b  = -5 , c  = 7.

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The polynomial roots are complex roots.

The polynomial factoring is image

b) The polynomial 9x 2 - 5x + 7

If the only factors of a polynomial are 1 and itself , then that polynomial is a prime.

A prime polynomial is one that cannot be factored into the prouduct of  two polynomials using integer values.

For example x 2 - 9 =(x - 3) (x + 3)is not a prime because it can be factored.

How ever 9x 2 - 5x + 7 is a prime.

answered Apr 5, 2014 by david Expert

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