Question

Which theorem states that:"Given polynomial p(x), if p(a)=0 for some number a, then (x - a) is a linear factor of p(x). Likewise if (x-a) is a linear factor of p(x) then p(a) = 0."

• A. Remainder Theorem
• B. Factor Theorem
• C. Binomial Theorem
• D. Quadratic Theorem

Answer 1

Answer:

B. Factor Theorem

Factor Theorem:

Given polynomial p(x), if p(a)=0 for some number a, then (x - a) is a linear factor of p(x). Likewise if (x-a) is a linear factor of p(x) then p(a) = 0.