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f p(x) = ax2 + bx + c and a + b + c = 0, then one zero isa.-b/ab.c/ac.b/cd.none of these

Question

If p(x)=ax2+bx+c p(x) = ax^2 + bx + c and a+b+c=0 a + b + c = 0 , then one zero is

a. ba-\frac{b}{a}
b. ca \frac{c}{a}
c. bc \frac{b}{c}
d. none of these

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Solution

To find the zero of the quadratic function p(x) = ax^2 + bx + c, where a + b + c = 0, we can use the fact that the sum of the zeros of a quadratic equation is equal to -b/a.

In this case, since a + b + c = 0, we can rewrite b as -a - c. Therefore, the zero of the quadratic function is -(-a - c)/a, which simplifies to (a + c)/a.

So, the zero of the quadratic function p(x) = ax^2 + bx + c, where a + b + c = 0, is (a + c)/a.

This problem has been solved

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