Question

write the degree of each of the following polynomials

i) 6x³+4x²+3x
ii) 3-y²
iii)5
iv) 3t-√5
write with Step by step explanation not direct answer please and answer them all
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Answer 1

Step-by-step explanation:

The degree of first polynomial is 3 because the maximum exponent or power of variable appearing is 3.

The degree of second polynomial is 2 because maximum power or exponent of variable y available is 2 only.

5 is just a constant. It can be written in the form

5X^ 0.. That shows its a polynomial of degree 0.

Last polynomial has a variable t in it. And the highest exponent or power appearing in variable t is 1 so degree is 1.

Hope it will help you.

Good luck have a nice day.

Answer 2

$\huge\underline\mathfrak\red{Question}$

Write the degree of each of the following polynomials –

i) 6x³+4x²+3x

ii) 3-y²

iii) 5

iv) 3t-√5

$\huge\underline\mathfrak\green{Answer}$

✯ "Degree of a polynomial" is the highest or the greatest power of a variable in the polynomial.

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i) 6x³+4x²+3x

Highest power is in 6x³ i.e, 3

$\boxed{Degree = 3}$

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ii) 3-y²

Highest power is in -y² i.e, 2

$\boxed{Degree = 2}$

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iii) 5

Highest power is in 5 i.e, 0 (as, 5 = 5x⁰)

$\boxed{Degree = 0}$

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iv) 3t-√5

Highest power(in variable) is in 3t i.e, 1

$\boxed{Degree = 1}$

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✍️ Some more to know :

• Now, we learnt degree of polynomial through the above sums given.

• Let us now look at the classifications of Polynomials on the basis of their degree.

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• On the basis of their degree, polynomials are classified as –

1. Linear Polynomials, with degree as 1
2. Quadratic Polynomials, with degree as 2
3. Cubic Polynomials, with degree as 3
4. Quartic Polynomials, with degree as 4
5. Quintic Polynomials, with degree as 5

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⠀⠀⠀✨HOPE IT HELPS✨