Question

How many solutions does each polynomial have? Equation Number of Solutions y = -6x - 9 y = 2x5 – x4 + 2x3 - 6x2 + 2x + 4 y = -4x3 - 10x2 + 7x + 5( number of solutions (1 2 3 4 5 6)

Answer 1

a) 1

b) 5

c) 3

Explanation:

To determine the number of solutions in a polynomial, wewould use the degree of the polynomial.

a) y = -6x - 9

The degree of the polynomial is linear (the highest degree is one)

Hence, it has one solution

$b)\text{ }y=2x^5-x^4+2x^3-6x^2+2x+4$

The degree of the above polynomial is quintic (highest degree is 5)

Hence, it has 5 solutions

$c_{})\text{ }y=-4x^3-10x^2+7x+5$

The highest degree above is 3. The polynomial is cubic.

Hence, it has 3 solutions