Question

If the sum of the zeros are polynomials 5x²-(3+k)x+7 is zero, then find the zero of the polynomial 2x²-2(x+11)x+x

Answer 1

If only the zero of the polynomial p(x)= 2x²-2(x+11)x+x is required, the remaining part of the question is useless.

Given: p(x)=2x²-2(x+11)x+x

So, p(x) = 2x²-2(x²+11x)+x
=2x²-2x²-22x+x
Therefore, p(x) = -21x
This tells us that the given polynomial is not a quadratic polynomial at all! rather, it is a linear polynomial in one variable.
to find the zero of the given polynomial we need to equate it with 0 , thus forming a linear equation in one variable.

This implies, -21x = 0

Hence, x = 0.

Hope it helped

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