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Consider this polynomial, where [tex]\( a \)[/tex] is an unknown real number. [tex]\[ p(x) = x^4 + 5x^3 + ax^2 - 3x + 11 \][/tex]
The remainder of the quotient of [tex]\( p(x) \)[/tex] and [tex]\( (x + 1) \)[/tex] is 17. Braulio uses synthetic division to find the value of [tex]\( a \)[/tex], and Zahra uses the remainder theorem to find the value of [tex]\( a \)[/tex]. Their work is shown.
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