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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

If x=3x = 3 is a zero of p(x)=2x3+bx2−5x−12p(x) = 2x^3 + bx^2 - 5x - 12, what is the value of bb?

  • A

    55

  • B

    −5-5

  • C

    33

  • D

    −3-3

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Explanation

p(3)=54+9b−15−12=27+9b=0⇒b=−3p(3) = 54 + 9b - 15 - 12 = 27 + 9b = 0 \Rightarrow b = -3.

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