Best Answer

If you only look at the value of the roots and not their multiplicity then the answer is yes.

The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.

🦃

🤨

😮

Study guides

Q: Can Polynomials with the same graph can have different roots?

Write your answer...

Submit

Related questions

false

False! If the graph is exactly the same, then the x-intercepts will be the same which implies the roots are them same. However, you can have the same roots and different graphs. So while the first statement is true, the converse if not.

false

You keep them the same if they have different bases

If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.

Other polynomials of the same, or lower, order.

theres nothing different because it is the same

No.

No! Bar and line graphs are different bar graphs show bars and line graph shows lines.

Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.

Polynomials

I believe they are parallel.

yes

The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.

A drawing of a graph or network diagram is a pictorial representation of the vertices and edges of a graph. This drawing should not be confused with the graph itself: very different layouts can correspond to the same graph. In the abstract, all that matters is which pairs of vertices are connected by edges.

Yes, they can.

yes you can plot same things from a frequency graph on a line graph because it is the same thing :) peace

Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.

To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .

Addition and subtraction are inverse functions.

Add them up providing that the bases are the same.

Same slopes and different intercepts

They are different numbers. There square roots are different and if you add them with the same numbers eg. 8+2=10, 6+2=8. they don't equal anything the same.

A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.

If you mean: y = 0.5x-10 then an equation parallel to it will have the same slope of 0.5 but a y intercept different to -10