Question

state the following degrees of polynomials.​

Answer 1

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What is degree?

In simple words,degree is defined as maximum power of a polynomial

$1. \: 3x$

⟶degree = 1

$2. \: 5 {x}^{2} + 3x + 4$

⟶degree = 2

$3. \: 3x + 5y$

⟶degree = 1

$4. \: 5xy + 3$

⟶degree = 2

( 1 of y and 1 of z = 1+1=2 )

$5. \: 7x {}^{3} + 8 {x}^{2} y - 9x {y}^{2}$

⟶degree = 3

$6. \: \frac{3}{5} {x}^{4} + xy$

⟶degree = 4

$7. \: {x}^{6} + {x}^{4} {y}^{2} + x {y}^{4} + {y}^{3}$

⟶degree = 6

$8. \: \: 8a {}^{3} + 3ab - 6 {a}^{4}b + 4b$

⟶degree = 5

$9. \: 3 {x}^{3} + {x}^{2} y + {y}^{3}$

⟶degree = 3

$10. \: 4 {x}^{6} - 4 {x}^{4} - 2 {x}^{2} + 3$

⟶degree = 6

Answer 2

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What is degree of a polynomial?

Degree of a polynomial is defined as maximum power of a polynomial.

$1. \: 3x$

⟶degree = 1

$\fbox{power of x}$

$2. \: 5 {x}^{2} + 3x + 4$

⟶degree = 2

$\fbox{power of x}$

$3. \: 3x + 5y$

⟶degree = 1

$\fbox{power of x or power of y(you can take any)}$

$4. \: 5xy + 3$

⟶degree = 2

$\fbox{for x = 1 and y = 1 ,degree = 1+1 = 2}$

$5. \: 7x {}^{3} + 8 {x}^{2} y - 9x {y}^{2}$

⟶degree = 3

$\fbox{power of x}$

$6. \: \frac{3}{5} {x}^{4} + xy$

⟶degree = 4

$\fbox{power of x}$

$7. \: {x}^{6} + {x}^{4} {y}^{2} + x {y}^{4} + {y}^{3}$

⟶degree = 6

$\fbox{power of x}$

$8. \: \: 8a {}^{3} + 3ab - 6 {a}^{4}b + 4b$

⟶degree = 5

$\fbox{for a = 4 and b = 1 , degree = 4+1 = 5}$

$9. \: 3 {x}^{3} + {x}^{2} y + {y}^{3}$

⟶degree = 3

$\fbox{power of x}$

$10. \: 4 {x}^{6} - 4 {x}^{4} - 2 {x}^{2} + 3$

⟶degree = 6

$\fbox{power of x}$