[3 marks sum]

Question 13 Marks

Write the degree of the following polynomial:
$100x^8 − 8x^{100}$

Answer

$100 x^8-8 x^{100}$
sum of the power of term $x^8=8$
sum of the power of term $8 x^{100}=100$
$\therefore$ The degree of the given polynomial $=100$.

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Question 23 Marks

Write the degree of the following polynomial:
$3y^3 − 2y^2z^4$

Answer

$3y^3 − 2y^2z^4$
sum of the power of term $3y^3 = 3$
sum of the power of term $2y^2z^4 = 2 + 4 = 6$
$\therefore $ Degree of the given polynomial $= 6.$

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Question 33 Marks

Write the degree of the following polynomial:
$x^7 − 6y^4$

Answer

$x^7 − 6y^4$
sum of the power of term $x^7 = 7$
sum of the power of term $6y^4= 4$
$\therefore $ Degree of the given polynomial $= 7.$

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Question 43 Marks

Write the degree of the following polynomial:
$x^3 − 8xy^2 + x^3y^3$

Answer

$x^3-8 x y^2+x^3 y^3$
sum of the power of term $x^3=3$
sum of the power of term $8 x y^2=1+2=3$
sum of the power of term $x^3 y^3=3+3=6$
$\therefore$ The degree of the given polynomial $=6$.

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Question 53 Marks

Write the degree of the following polynomial:
$4y^2 − 3x^3 + y^2x^7$

Answer

$4 y^2-3 x^3+y^2 x^7$
Sum of the powers of the term $4 y^2=2$
Sum of the powers of the term $3 x^3=3$
Sum of the powers of the term $y^2 x^7=2+7=9$
$\therefore$ The degree of given polynomial $=9$

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Question 63 Marks

Write the degree of the following polynomial:
$8z^3 − 8y^2z^3 + 7yz^5$

Answer

$8z^3 − 8y^2z^3 + 7yz^5$
Sum of the powers of the term $8 z^3=3$
Sum of the powers of the term $8 y^2 z^3=2+3=5$
Sum of the powers of the term $7 y^5=1+5=6$
$\therefore$ The degree of given polynomial $=6$

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Question 73 Marks

Write the degree of the following polynomial:
$8x^2y − 3y^2 + x^2y^5$

Answer

$8x^2y − 3y^2 + x^2y^5$
Sum of the powers of the term $8 x^2 y=2+1=3$
Sum of the powers of the term $3 y^2=2$
Sum of the powers of the term $x^2 y^5=2+5=7$
$\therefore$ The degree of given polynomial $=7$

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MATHS [3 marks sum]

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