Explanation:-
Given that,
P(x) = x⁴- 4x³ + x² - x + 10
substitute x = 1 in equation, we get
⇛P(1) = 1⁴ - 4(1)³ + 1² - 1 + 10
⇛ P(1) = (1*1*1*1) - 4(1*1*1) + (1*1) - 1 + 10
⇛ P(1) = 1 - 4(1) + 1 - 1 + 10
⇛P(1) = 1 - 4 + 1 - 1 + 10
⇛P(1) = 2 - 4 - 1 + 10
⇛P(1) = 12 - 4 - 1
⇛P(1) = 12 - 5
⇛P(1) = 7.
Therefore, the factor of the polynomial p(x) = x⁴- 4x³ + x² - x + 10 is 7.
