Digital SAT Math Practice Question #922
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Recall the Remainder Theorem: if a polynomial \( P(x) \) is divided by \( (x - c) \), the remainder is simply \( P(c) \).
Desmos Shortcut: Enter the polynomial with a slider for the variable. In the next line, evaluate \( P(1) \) and adjust the slider until it equals 12.
By the Polynomial Remainder Theorem, dividing \( P(x) \) by \( (x - c) \) results in a remainder equal to \( P(c) \). Here, \( c = 1 \) and \( P(1) = 12 \). Substitute \( x = 1 \) into \( P(x) \) and equate to 12 to solve for the missing co...
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