GamingLlamaYT
Answered

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Can you help with #21 please. I will mark Brainliest.​

Can You Help With 21 Please I Will Mark Brainliest class=

Sagot :

danielgeyfman

Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are [tex]-2[/tex] and [tex]-4[/tex].

We now want to find all equations of the form [tex](x-(-2))(x-(-4))=(x+2)(x+4)=0[/tex].

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: [tex](x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0[/tex]

We can then divide both sides of the equation to find that [tex]-x^2-6x-8=0[/tex], so A is another answer.

We can complete the square on [tex]x^2+6x+8[/tex] to find the last possible solution.

[tex]x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0[/tex].

We can then multiply both sides of the equation by [tex]4[/tex] to find that [tex]4(x+3)^2-4=0[/tex], so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

eragonshades1004

Answer:

its going to be letter b  because  2 and  4 well the x intercepts those  

Step-by-step explanation:

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