Help with Algebra questions? I will Mark brainliest!

1.) The degree of the polynomial function f(x) is 3.

The roots of the equation f(x)=0 are −2 , 0, and 3.

Which graph could be the graph of f(x) ?

2.) Which graph represents the polynomial function g(x)=x3+5x2−12x−36? (Second photo)

3.) Which graph represents the polynomial function f(x)=x3+4x2−4x−16?

Question

nevabbx nevabbx

25-10-2019
Mathematics

contestada

Help with Algebra questions? I will Mark brainliest!

1.) The degree of the polynomial function f(x) is 3.

The roots of the equation f(x)=0 are −2 , 0, and 3.

Which graph could be the graph of f(x) ?

2.) Which graph represents the polynomial function g(x)=x3+5x2−12x−36? (Second photo)

3.) Which graph represents the polynomial function f(x)=x3+4x2−4x−16?

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dsouzaaww14 dsouzaaww14 · Answer 1 · 2019-11-06T08:30:08+01:00

Answer:

Step-by-step explanation:

1) First graph is correct! Because clearly, the roots are visible, and it's a 3rd degree polynomial, so it can't be bottom twos, cuz they're parabolas.

2) Roots are at -6, -2 and 3. (If you need further assistance on this, let me know!) Hence, It is the last graph!

3) Roots are at -4, -2 and 2, (Again, if you need assistance, let me know!)

Hence, it is the first one!

Hope this cleared things up for you!

jajumonac jajumonac · Answer 2 · 2020-04-05T02:50:04+02:00

Answer:

1) The degree of the polynomial function f(x) is 3, because it has three roots when f(x) = 0. Remember that the degree of a polynomial is dictated by the number of roots it has. (first graph)

2) The graph that represents [tex]g(x)=x^{3}+5x^{2} -12x-36[/tex] is attached. There you can observe that the roots of this functoin are [tex]x=-6[/tex], [tex]x=-2[/tex] and [tex]x=3[/tex]. The right choice is the graph placed at the bottom-right side.

3) The graph of the function [tex]f(x)=x^{3}+4x^{2} -4x-16[/tex] is attached. Notice that its roots are [tex]x=-4[/tex], [tex]x=-2[/tex] and [tex]x=2[/tex]. Therefore, the right choice is the graph placed at the top-left side.