find the zero of the polynomial
‐11/x +1.
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10th
Maths
Polynomials
Relationship between Zeroes and Coefficients of a Polynomial
Find all the zeros of x3 + ...
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Asked on December 27, 2019 by
Sukriti Shrey
Find all the zeros of x
3
+6x
2
+11x+6 if (x+1) is a factor.
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ANSWER
Since (x+1) is a factor of given cubic equation.
∴ it will completely divide the given equation.
Now, (x
3
+6x
2
+11x+6)=(x
2
+5x+6)(x+1)
=(x+2)(x+3)(x+1)
∴ zeros of (x+1)(x+2)(x+3)=0 are
x+1=0⇒x=−1
x+2=0⇒x=−2
x+3=0⇒x=−3
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