## anonymous one year ago Medal and Fan!!!!!!!!!! Which of the following is a polynomial with roots 4, 6, and −7

1. anonymous

y=x^3-3x^2-24x+42 y=x^3-3x^2-46x+168 y=x^3-24x^2-42x+46 y=x^3-24^2-46x+168

2. SolomonZelman

A polynomial with roots $$\large\color{blue}{ \displaystyle \rm a }$$, $$\large\color{green}{ \displaystyle \rm b }$$, and $$\large\color{red}{ \displaystyle \rm c }$$ Can be written out as: $$\large\color{black}{ \displaystyle y=(x-\color{blue}{\rm a})(x-\color{green}{\rm b})(x-\color{red}{\rm c}) }$$ (then you will expapnd $$\rm \small YOUR$$ expression that you get after using this rule.

3. SolomonZelman

take it as: 1) your $$\large\color{black}{ \displaystyle \color{blue}{\rm a} }$$ is 4 2) your $$\large\color{black}{ \displaystyle \color{green}{\rm b} }$$ is 6 3) your $$\large\color{black}{ \displaystyle \color{red}{\rm c} }$$ is -7

4. anonymous

the answer is the third one

5. SolomonZelman

I doubt that....

6. anonymous

last one

7. SolomonZelman

8. anonymous

the first one

9. LynFran

(x-4)(x-6)(x+7) (x^2-6x-4x+24)(x+7) (x^2-10x+24)(x+7) x^3+7x^2-10x^2-70x+24x+168...can you simplify it...

10. LynFran

so which one is it?