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
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