To determine if \( x - 2 \) is a factor of the polynomial \( f(x) = 3x^5 - 7x^3 - 11x^2 + 2 \), we can apply the Remainder Theorem, which states that \( x - c \) is a factor of \( f(x) \) if and only if \( f(c) = 0 \); calculating \( f(2) = 3(2)^5 - 7(2)^3 - 11(2)^2 + 2 = 96 - 56 - 44 + 2 = -2 \), we find that \( f(2) \neq 0 \), therefore \( x - 2 \) is not a factor of the polynomial.
Use the Remainder Theorem to determine if x minus 2 is a factor of the polynomial f left parenthesis x right parenthesis equals 3 x superscript 5 baseline minus 7 x cubed minus 11 x squared plus 2. Write the answer in 1 complete sentence
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