Question

what is the degree of polynomial p(x)=5x⁴+3x³-2?​

Answer 1

Given that:-

Polynomial p(x)=5x⁴+3x³-2

Now the power of the highest degree term is 7 so the degree of the polynomial is 7.

Answer 2

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Answer:

Degree of polynomial in 5x⁴ + 3x³ - 2 is $\small{\sf{\pink{ 4✓}}}$

Explanation:

Here we have given that p(x) = 5x⁴ + 3x³ - 2.

We have to find degree of polynomial from it.

Understanding degree of polynomial:

First of all, we should understand that what is degree of polynomial?

⇒ The highest power of variable in given polynomial is called degree of polynomial.

Now,

In given polynomial, searching all powers of variable -

• 5x⁴ = 4{∵x is variable and 4 is its degree}
• 3x³ = 3{∵x is variable and 3 is its degree}

Now,

We found that we have two power of variable in polynomial in which one is 4 and another is 3.

But,

We have to find highest power of polynomial.

Therefore :

Degree of polynomial in p(x) = 5x⁴ + 3x³ - 2 is '4'

Our final required answer:

'4' is the degree of polynomial in given polynomial.

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