Respuesta :

Factors are (x-7) and (x-2)

OR

x = 7 and x=2

Further explanation:

Given polynomial is:

[tex]x^2-9x+14[/tex]

In order to find the factors of the polynomial we have to factorize it.

For factorization, the co-efficient of x is chosen and its factors are made that sum up to the constant value in the polynomial.

So,

[tex]x^2-9x+14\\= x^2-7x-2x+14\\=x(x-7)-2(x-7)\\=(x-7)(x-2)[/tex]

The factors are:

[tex]x-7 = 0\\x = 7\\AND\\x-2 = 0\\x=2[/tex]

Keywords: Factorization, Polynomials

Learn more about polynomials at:

  • brainly.com/question/12700460
  • brainly.com/question/1284310

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