Math, asked by km230272, 11 months ago

The polynomial px2 + qx +rx4 + 5 is of type​

Answers

Answered by myrakincsem
14

Step-by-step explanation:

A polynomial is defined as algebraic expression that consists of variables that are raised to some power and multiplied with some constants. There are different type of polynomials.

  • Monomial
  • Binomial
  • Trinomial
  • Quadrinomial

However, the term provided int he question has four different terms with highest power of variable as "4"

Thus, it is an example of quadrinomial

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https://brainly.ph/question/2292807

Answered by ChitranjanMahajan
20

Given :

Polynomial = px² + qx + rx⁴ + 5

To find :

The type of the polynomial px² + qx + rx⁴ + 5

Solution :

• Let the given polynomial be denoted as f(x) for our convenience.

• To find the type of the given polynomial, we have to take a look at the degree of the same.

• The degree of a polynomial is the highest power of the variable, here x, in the polynomial. The highest power of x in f(x) is 4.

• Therefore, such a polynomial of degree 4 of the form rx⁴ + px² + qx + 5 is called a biquadratic polynomial, because it has double the power of a quadratic equation of the form ax² + bx + c.

Answer - The type of the polynomial px² + qx + rx⁴ + 5 is biquadratic in nature.

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