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Question
The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
Based on the above information, answer the following questions.
The product of zeroes of a cubic polynomial x3−3x2−x+5 is ________.
The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
Based on the above information, answer the following questions.
The product of zeroes of a cubic polynomial x3−3x2−x+5 is ________.
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Solution
The correct option is B -5
If α, β and γ are the the zeroes of a cubic polynomial ax3+bx2+cx+d ,
then
αβγ =−da
Given polynomial: x3−3x2−x+5
Here, a=1,b=−3,c=−1,d=5
∴ Product of zeroes is −da=−51=−5.
If α, β and γ are the the zeroes of a cubic polynomial ax3+bx2+cx+d ,
then
αβγ =−da
Given polynomial: x3−3x2−x+5
Here, a=1,b=−3,c=−1,d=5
∴ Product of zeroes is −da=−51=−5.
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