The polynomial px2 + qx +rx4 + 5 is of type
Answers
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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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.