Find the degree1 x4 - 4-x3-2 -2 x-32 1 - x2x3-x4-x8

Degree is the highest power of polynomial 1) x4/4 x3+2√2x+3 Degree = 4 2) 1/x2(x3 x4+x8) =X X^2+ X^6 after simplification highest power is 6 so degree= ...

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Standard IX

Mathematics

Degree of the Polynomial

Find the degr...

Question

Find the degree

1) x⁴/4 -x³+2√2x+3

2) 1/x²(x³-x⁴+x⁸⁾

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Solution

Degree is the highest power of polynomial

1) x⁴/4 -x³+2√2x+3
Degree = 4

2) 1/x²(x³-x⁴+x^{8)
=X-X^2+ X^6
after simplification highest power is 6
so degree=6}

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Similar questions

x^{3} + x^{2} + x^{4} = x^{2} (x^{3} + x^{2} + 1)

Q. Find the sum of the following series

1 + 2 x + \frac{2^{2} - 1}{⌊ 2} \cdot \frac{x^{2}}{1} + \frac{3^{2} - 1}{⌊ 3} \cdot \frac{x^{3}}{2} + \frac{4^{2} - 1}{⌊ 4} \cdot \frac{x^{4}}{3} + . . . . .

Q. Find whether the following series are convergent or divergent:

1 + \frac{2 x}{| 2 -} + \frac{3^{2} . x^{2}}{| 3 -} + \frac{4^{3} . x^{3}}{| 4 -} + \frac{5^{4} . x^{4}}{| 5 -} + . . . .

lim x \to 1 \frac{x^{8} - 2 x + 1}{x^{4} - 2 x + 1}

equals

Q. If the median of the data

x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6}, x_{7}, x_{8}

α

and

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, then the median of

x_{3}, x_{4}, x_{5}, x_{6}

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Find the degree 1) x4/4 -x3+2√2x+3 2) 1/x2(x3​​​​​-x4+x8)

Degree is the highest power of polynomial 1) x4/4 -x3+2√2x+3 Degree = 4 2) 1/x2(x3​​​​​-x4+x8) =X-X^2+ X^6 after simplification highest power is 6 so degree=6

Find the degree

1) x⁴/4 -x³+2√2x+3

2) 1/x²(x³-x⁴+x⁸⁾

Degree is the highest power of polynomial

1) x⁴/4 -x³+2√2x+3
Degree = 4

2) 1/x²(x³-x⁴+x^{8)
=X-X^2+ X^6
after simplification highest power is 6
so degree=6}