Digital SAT Math Practice Question #1638
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Remainder of P(x)/(x - 2) is just P(2). 2(8) - 5(4) + 8 - 7 = 16 - 20 + 8 - 7 = -3.
By the Polynomial Remainder Theorem, the remainder when \(P(x)\) is divided by \(x - a\) is \(P(a)\). Here \(a = 2\): \(P(2) = 2(2)^3 - 5(2)^2 + 4(2) - 7 = 2(8) - 5(4) + 8 - 7 = 16 - 20 + 8 - 7 = -3\)....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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