What is degree of polynomial 2x4+3x2+5 (a)5 (b)4 (c)3 (d)2
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Answer:
b) 4
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Degree => The highest power of all the terms in a polynomial is considered as the degree.
In this polynomial 2x⁴+3x²+5 The highest power is 4 so,it's degree is 4
More information=>
Degree of polynomial:
- Zero degree polynomial => A polynomial in which all coefficient makes zero e.g.,0x²+0x+0
- Degree of constant polynomial => The degree of any constant is 0 .A constant term can be written along with variable as e.g., 6x⁰ as power 0 is 1 and it becomes 6*1= 6
- Linear polynomial=> Having degree is called linear polynomial e.g., 3x+4y
- quadratic polynomial=> having degree 2 is called quadratic polynomial e.g., 2x²+3x+5
- Cubic polynomial=> having degree 3 e.g.,=> 3x³+3x+3
- Quartic polynomial=>having degree 4 is called quartic polynomial e.g., 4x⁴+3x³+2x+5
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