Question

Find a cubic function with the given zeros.

-6, 7, -4

Answer 1

if 'a' is a ZERO, then \(\Large (x-a)\) will be a factor.

so, what will be the factor if 7 is a zero ??

Answer 2

?

Answer 3

you didn't get what i said ?

Answer 4

whats your doubt ? did you try to find the cubic function ?
or are you just waiting for an answer ?

Answer 5

i'm trying

Answer 6

let me give you a start,
since '7' is a zero, (x-7) will be the factor.

what will be the factor when -6 is a zero ? when -4 is a zero ?
if you can't answer these, you're not even thinking.

Answer 7

Well.. A function whose zeroes are -6, 7 ,-4 means that these are the values of X for which the function=0...When stuck in such problems... Equate the values to X seperately.. And then multiply each of them together.

Answer 8

-6, 7, -4

-6 + x = 0
Add six to both sides to isolate x.
x = 6
So (x + 6) is a factor.

7 + x = 0
Isolate x.
x = -7
So (x - 7) is a factor.

I'll let you solve -4. I'll show you what to do after that.