Answer:
Step-by-step explanation:
Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably. When you factor a polynomial, you solve for x which are the solutions of the polynomial. Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.
Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with. Each zero or solution is the x value when y = 0. For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0. What we have then is a binomial factor of the polynomial in the form (x - 3). These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.
Answer:
y = -2x + 5
Step-by-step explanation:
Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.
y = -2x + b
Now all we need is the y-intercept.
If we plug in the first point (1,3), we get:
3 = -2*1+b
3 = -2+b
b = 5
This is the y-intercept.
y = -2x + 5
Answer:
5.57
Step-by-step explanation:
In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation 
. The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes 
<em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.
