In -5-3 -2 -4- write the coefficient of -ii -2Also- write the degree of the given algebraic expression-

Solution: −5𝑥^3 𝑦^2 𝑧^4 = −5𝑥^3 𝑧^4 𝑦^2 = (−5𝑥^3 𝑧^4 ) 𝑦^2 Hence, co efficient of y^2 is −5𝑥^3 𝑧^4. The degree of a monomial is the sum of exponents of all the ...

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Standard XI

Business Studies

Outsourcing and Its Types

In −5𝑥3 𝑦2 ...

Question

In $- 5 x^{3} y^{2} z^{4}$ ; write the coefficient of :
(ii) $y^{2}$
Also, write the degree of the given algebraic expression.

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Solution

Solution:
$- 5 x^{3} y^{2} z^{4} = - 5 x^{3} z^{4} y^{2}$
$= (- 5 x^{3} z^{4}) y^{2}$
Hence, co-efficient of $y^{2}$ is $- 5 x^{3} z^{4} .$
The degree of a monomial is the sum of exponents of all the variables in it.
So, the degree of the given algebraic expression
$- 5 x^{3} y^{2} z^{4}$ =3+2+4 = 9.

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In −5x3y2z4; write the coefficient of : (ii) y2 Also, write the degree of the given algebraic expression.

Solution: −5x3y2z4=−5x3z4y2 =(−5x3z4)y2 Hence, co-efficient of y2 is −5x3z4. The degree of a monomial is the sum of exponents of all the variables in it. So, the degree of the given algebraic expression −5x3y2z4 =3+2+4 = 9.

In $- 5 x^{3} y^{2} z^{4}$ ; write the coefficient of :
(ii) $y^{2}$
Also, write the degree of the given algebraic expression.