find the zero of the quadratic polynomial p(x)=x2-7x-18
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Answer:
o×2-0×7-18, 0-0-18 ,-18ans
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The zeroes of the polynomial p (x) = x² - 7x - 18 are -2, 9.
Given: The quadratic polynomial p (x) = x² - 7x - 18.
To Find: The zero of the quadratic polynomial p (x) = x² - 7x - 18.
Solution:
- We know that the zeroes of a polynomial p (x) are all the values of x for which the polynomial is equal to zero.
- So, we need to find the roots of the polynomial. This can be done by the prime factorization method.
Coming to the numerical, it is given that the polynomial expression is;
p (x) = x² - 7x - 18
To find the zeroes of this equation, we need to first make it equal to zero.
x² - 7x - 18 = 0
⇒ x² - 9x + 2x - 18 = 0
⇒ x ( x - 9 ) + 2 ( x - 9 ) = 0
⇒ ( x - 9 ) ( x + 2 ) = 0
⇒ x = -2, 9
So, the zeroes of the polynomial p (x) = x² - 7x - 18 are -2, 9.
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