Question

write the degree of polynomial (x-1) (x-2)(x-3)(x-4)

Answer 1

Answer:

As it gives 4 values of x hence its highest degree is 4

Answer 2

Answer:

Degree of the polynomial (x-1) (x-2)(x-3)(x-4) = 4

Step-by-step explanation:

Given polynomial is (x-1) (x-2)(x-3)(x-4)

Required to find the degree of the polynomial

Recall the concepts

The degree of a polynomial is the highest power of the variable in the polynomial.

Solution

The given polynomial is (x-1) (x-2)(x-3)(x-4)

The variable in the polynomial is 'x'

Since, the given polynomial is a product of 4 linear polynomials in 'x', the highest power of the variable is obtained by multiplying the first terms of the four linear equations

Hence, the term with the highest power of 'x' is  $x^4$

Since the degree of the polynomial is the highest power of the variable in the polynomial, we have the degree of the polynomial = 4

∴Degree of polynomial (x-1) (x-2)(x-3)(x-4) = 4

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