Value of each of following polynomials at indicated value of variables q(y)=5 y^{3}-4 y^{2}+14 y-√

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2. Polynomials

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Find the value of each of the following polynomials at the indicated value of variables

$q(y)=5 y^{3}-4 y^{2}+14 y-\sqrt{3}$ at $y=2$

Option A

Option B

Option C

Option D

Solution

$q(y)=5 y^{3}-4 y^{2}+14 y-\sqrt{3}$

Replacing $y$ by $2,$ we get

$q(2)=5(2)^{3}-4(2)^{2}+14(2)-\sqrt{3}$

$=5(8)-4(4)+28-\sqrt{3}$

$=40-16+28-\sqrt{3}$

$=68-16-\sqrt{3}=52-\sqrt{3}$

Therefore, the value of $q(y)$ at $y=2$ is $52-\sqrt{3}$

Standard 9

Mathematics

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