The value of b that makes x-2 a factor of x² - bx + b is 4.
Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Types of polynomials are quadratic, linear, cubic and so on.
The factor theorem states that; when f(k) = 0, then (x – k) is a factor of f(x).
Given that x-2 is a factor of x² - bx + b, hence:
f(2) = 2² - b(2) + b = 0
4 - 2b + b = 0
b = 4
Therefore the value of b that makes x-2 a factor of x² - bx + b is 4.
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