onelove94 2 years ago 3. What is a polynomial function in standard form with zeroes 1, 2, –3, and –3? (1 point) g(x) = x4 + 3x3 –7x2 – 15x + 18 g(x) = x4 + 3x3 –7x2 + 2x + 18 g(x) = x4 – 3x3 + 7x2 + 15x + 18 g(x) = x4 – 3x3 –7x2 + 15x + 18

1. onelove94

i figured the answer is the 2nd choice

2. campbell_st

its f(x) = a(x -1)(x -2)(x + 3)^2

3. onelove94

is it the same as (x-1)(x-2)(x+3)(x+3)?

4. campbell_st

yes it is... just expand it

5. amarhooda111

exactly

6. onelove94

(x^2-3x+2)(x^2+6x+9) and now I don't know what.

7. campbell_st

well you need to distribute use a grid |dw:1355120734994:dw| the diagonals have the line terms

8. campbell_st

|dw:1355120877440:dw| it starts x^4 and finishes with 18 hope it makes sense.

9. onelove94

It does make sense ( : ...I worked it out too...but I needed help on how to get the 3rd and 4th monomials.

10. campbell_st

I use simple methods like grids... helps to avoid mistakes.

11. onelove94

So it is the 2nd choice?

12. campbell_st

13. campbell_st

so I think its the 1st option

14. onelove94

Ohhhh. It does make sense looking at it this way. Thanks a bunch ( :