factor 9x^2-5x+7

Question

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

a)factor

b) The polynomial is prime

Answer 1

a) The polynomial 9x ² - 5x + 7

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

a  = 9 , b  = -5 , c  = 7.

The polynomial roots are complex roots.

The polynomial factoring is

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.