## anonymous one year ago solve the cubic polynomial,f(x)=6x^3+5x^2-12x+4 and find the relationship between the zeros and coefficients of the polynomail

1. anonymous

help me.....................please .i Will give medal

2. Loser66

still need help?

3. anonymous

yes

4. Loser66

the last number 4 has factors $$\pm1$$, $$\pm 2$$, $$\pm 4$$ the first number 6 has factors $$\pm 1$$, $$\pm2$$, $$\pm 3$$, $$\pm 6$$ hence the factors of 6 will go with the factor of 4 to form the zeros of the polynomial but it is the denominator. I meant |dw:1432874701462:dw|

5. Loser66

put $$\pm$$ on each of them.

6. Loser66

Fortunately, the cubic has at most 3 zeros, hence if we find out 1 of them, the rest is easy.

7. Loser66

The logic above is the answer for "Relationship between the zeros and coefficients of the polynomial" Now is to find the zero.

8. Loser66

test -2, you get y =0, hence (x+2) is a factor of the polynomial. take long division to find other zeros. Are you allowed to use calculator?

9. anonymous

no

10. Loser66

ok, good luck, you have to check one by one among the options I gave you above.

11. Loser66

|dw:1432875418149:dw|

12. anonymous

thank u : ) i understand this answer