Multiple choice

Give that two of the zeros of the quadratic polynomial $ax^{3}+bx^{2}+cx+d$ are $0$, then third zero is

  1. $-b/a$
  2. $b/a$
  3. $c/a$
  4. $-d/a$
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A Correct answer
Explanation

If two zeros are 0, the polynomial is of the form ax^3 + bx^2 = x^2(ax + b). The roots are 0, 0, and -b/a.

AI explanation

Because two of the zeros of the cubic polynomial ax³ + bx² + cx + d are 0, we can represent the polynomial as ax³ + bx² + cx + d = x²(ax + b) using its factored form. Equating the expressions shows the third factor determining the final root is (ax + b). Setting ax + b = 0 yields the third zero as -b/a.

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