11]If one zero of the quadratic polynomial x2 – 5x – 6 is 6 then find the other zero.
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11]If one zero of the quadratic polynomial x2 – 5x – 6 is 6 then find the other zero.
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Explanation:
It is given that 6 is the one of the roots of the polynomial. This means that since 6 is also the root of x -6, x- 6 is a factor of given polynomial.
Hence,
[tex]x^2 - 5x - 6[/tex]
[tex]= x(x-6)+1(x-6)[/tex]
[tex]=(x+1)(x-6)[/tex]
Hence, -1 is the other root.
Answer: -1