fund the zeros of the polynomial p(x)=x²+5x+6
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Step-by-step explanation:
Polynomials. Find the zeroes of the quadratic polynomial x2 – 5x + 6, and verify the relationship between the zeroes and the coefficients. Therefore, the zeroes of x2 – 5x + 6 are 3 and 2.
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Answer:
Given:-
- Polynomial p(x) = x² + 5x + 6.
To Find:-
- Zeros of the polynomial.
Solution:-
x² + 5x + 6 = 0.
=> x² - 3x - 2x + 6 = 0.
=> x(x - 3) - 2(x - 3) = 0.
=> (x - 3)(x - 2) = 0.
x - 3 = 0.
=> x = 3.
x - 2 = 0.
=> x = 2.
Hence, the zeros of the polynomial p(x) = x² + 5x + 6 are 2 and 3 .
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