Foundation
Mathematics Foundation
zeros of a polynomial
Question
The zeros of the polynomial p(x) = x2 + x – 6 are
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Solution
The zeros of a polynomial are the values of x that make p(x) = 0. For p(x) = x2 + x – 6, we solve the quadratic equation x2 + x – 6 = 0.
We factor the quadratic: (x + 3)(x – 2) = 0. Setting each factor to zero gives the solutions:
x + 3 = 0 → x= – 3
x – 2 = 0 → x = 2
Therefore, the zeros are – 3 and 2.
Final Answer:
2, – 3