Question

18) The degree of P(x) = (x-1)(x+2)(x+3)(2x-5) is


4
3
2
1​

Answer 1

degree 4

Explanation:

The degree of a polynomial is determined by the term with the largest exponent for the polynomial in standard form

Given

P(x) = (x - 1)(x + 2)(x + 3)(2x - 5)

We need only consider the product of the leading terms in each factor, that is

x(x)(x)(2x) = 2
`x^(4)` ← is the leading term in the expansion of the factors

with exponent 4

Thus polynomial is of degree 4