The degree of Polynomial. P(x)=x²+2x⁴-3x+6 is
Answers
Answer:
4
Explanation:
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Answer:
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Explanation:
Find the degree of the polynomial 16 + 8x – 12x2 + 15x3 - x4.
We observe that the above polynomial has five terms. Here the first term is 16, the second term is 8x, the third term is – 12x2, the fourth term is 15x3 and the fifth term is - x4.
Now we will determine the exponent of each term.
(i) the exponent of the first term 16 = 0
(ii) the exponent of the second term 8x = 1
(iii) the exponent of the third term – 12x2 = 2
(iv) the exponent of the fourth term 15x3 = 3
(v) the exponent of the fifth term - x4 = 4
Since, the greatest exponent is 4, the degree of 16 + 8x – 12x2 + 15x3 - x4 is also 4.
Therefore, the degree of the polynomial 16 + 8x – 12x2 + 15x3 - x4 = 4.