Question

Find the degree of polynomial and here identify its type -7​

Answer 1

Here,

according to the degree of the given polynomial, '-7' we will call it constant polynomial.

Key Points to remember...

Degree of a Polynomial - It is the maximum power of a certain variable in its polynomial.

e.g - p(x) = x⁴ -78x³ +x⁷√2 + x

Here degree of p(x) is 7.

Constant polynomial - It is a polynomial having degree equal to 0. In this polynomial the variable don't appears to exist. This sentence will be clarified with an example.

e.g - p(x) = 7 ( = 7x⁰ )

Linear Polynomial - It is a polynomial having degree equal to one. If we derive it in form of linear equation, it will then form a linear graph.

e.g - p(x) = 8x + 99

Quadratic polynomial - It is a polynomial having degree equal to two. If we derive it in form of quadratic equation there will be at most two values of x which will satisfy the equation depending on the discriminant, b² - 4ac.

e.g - p(x) = 25x² - 87 + x

There are more polynomials depending upon there degree such as

• cubic polynomial - degree = 3
• bi - quadratic polynomial - degree = 4

But that was enough for now.

Happy learning...

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