-1/4 will be ration because all fractions are rational
Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is
which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
Every straight line graph has an equation in the same form:
y = (slope of the line) x + (y-intercept) .
-- The slope of the line is
(how far it goes UP, going left to right between any 2 points)
divided by
(how far it goes left to right between the same 2 points) .
The line on this graph has a slope of + 1/2 .
-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at -1 .
y = (slope of the line) x + (y-intercept) .
y = ( 0.5 ) x ( - 1 ) .
Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6