Question

A polynomial in factored form has n linear factors. What is the degree of the polynomial?

a.n-1
b.n
c.n+1

Answer 1

Step-by-step explanation:

The value of √3 is approximately equal to 1.732. This value is widely used in mathematics. Since root 3 is an irrational number, which cannot be represented in the form of a fraction. It means that it has an infinite number of decimals.

Answer 2

b)n is the solution.

Explanation,

Let us suppose we have a general polynomial of degree n.

• It can be represented as $ax^{n} + bx^{n - 1} +.... +1$. This polynomial can have a maximum of n real roots. It means that the graph of this polynomial will cut the x-axis n times.

• The same polynomial can also be represented as the product of other polynomials with a smaller degree.

             f(x) = g(x)*h(x) -------eq(1)

• For the given question, it is known that it has n linear factors. Multiplying all those linear factors will provide us with our polynomial. Doing so, the maximum power of x will be n. This is also termed the degree of a polynomial.