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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

The roots of x2+bx+c=0x^2 + bx + c = 0 are 4 and -3. What are bb and cc?

  • A

    b=1,c=12b = 1, c = 12

  • B

    b=1,c=−12b = 1, c = -12

  • C

    b=−1,c=−12b = -1, c = -12

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  • D

    b=−1,c=12b = -1, c = 12

Explanation

Sum =4+(−3)=1=−b= 4 + (-3) = 1 = -b, so b=−1b = -1. Product =−12=c= -12 = c.

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