The Factor Theorem states:

Mathematics

1 answer:

Hoochie [10]3 years ago

8 0

Ur ans will be bit 3
if x-k is a factor then f(k)=0

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Can you please answer this?

Sophie [7]

Answer:

A. (1, -1)

B. (1, -1), (2, 0)

C. x = 0

Step-by-step explanation:

A graph is a plot of all the points that are solutions to an equation.

Part A:

A point will be a solution to two equations if it is a point of intersection of their graphs. The one point that is a solution to both p(x) and g(x) is the one point where their graphs intersect: the red and blue lines cross at (1, -1).

Part B:

Any other point on the graph p(x) will be another solution of it. One that is near to the point of intersection with g(x) is the point where p(x) crosses the x-axis: (2, 0). Of course, the solution listed in Part A is also a solution to p(x).

Part C:

The point where the graph of g(x) crosses the graph of f(x) is (0, 3). The x-value that makes g(x) = f(x) is x=0. That is the solution to this equation. (We don't really care what the values of f(0) and g(0) are--just that they are equal.)

7 0

4 years ago

Hich value, when placed in the box, would result in a system of equations with infinitely many solutions?

Jobisdone [24]

The value placed in the box that makes the system of equation with infinitely many solution is 12.

<h3>How to solve an infinitely many solution equation?</h3>

An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.

Hence,

y = -2x + 4

Therefore,

6x + 3y = 12

divide the equation(ii) by 3

2x + y = 4

y = -2x + 4

Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.

learn more on equation here: brainly.com/question/13116557

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