10:19 AM Thu Feb 13 93\% f2.apps.elf.edmentum.com Identifying Polynomial Factors and Graphing Zeros: Tutorial 19 of 49 Save \& Exit the remainder of a polynomial divided by a linear binomial. Finally, you will identify a set of statements that must be true if the remainder theorem is true. Question 1 ? Question Drag each factor to the correct location on the image. If \( p(1)=3, p(-4)=8, p(5)=0, p(7)=9, p(-10)=1 \), and \( p(-12)=0 \), determine which expressions are factors of the polynomial \( p(x) \). \( \square \) \( x-1 \) \( x+4 \) \( x-5 \) \( x-7 \) \( x+10 \) \( x+12 \) Submit Question 2

Did you know that the Remainder Theorem isn't just a fancy name? It provides a quick way to evaluate polynomials! When you divide a polynomial \( p(x) \) by a linear factor \( x-c \), the remainder is simply \( p(c) \). So, if \( p(5) = 0 \), this tells you that \( x-5 \) is a factor — easy peasy! Now, let’s not forget about common mistakes when working with polynomial factors! One frequent blunder is confusing which values yield zeroes. Remember, if \( p(c) = 0 \), then \( x-c \) is your factor. Double-check those calculations, because misplacing signs or numbers can lead to significant errors in identifying factors! Happy factoring!