find the zeros of the quadratic
y=6x(x-1)

Question

find the zeros of the quadratic
y=6x(x-1)

anonymous · Answer

@Nnesha  @triciaal

anonymous · Answer

The zeroes of the quadratic function y are the values of x that make y = 0.

anonymous · Answer

So what values of x make 
$$6x(x-1)$$equal to zero?

anonymous · Answer

0

anonymous · Answer

Yes, 0 is one way to make y = 0

anonymous · Answer

When you plug in 0 into$$6x(x-1)$$ you get$$6*0*(0-1)$$ which is 0

anonymous · Answer

There is one other value of x that makes$$6x(x-1)$$ equal to 0

triciaal · Answer

y=6x(x-1)
when y = 0
6 =0 or 0=0 or x-1 = 0

anonymous · Answer

How am i supposed to be looking at the numbers in the parenthesis? can i foil 6x into (x-1) or is that not how this works?

triciaal · Answer

when you multiply by zero the result is zero
so if y = 0 then one of the factors must be 0 
what are the  3 factors   6 and  x and  (x-1)

triciaal · Answer

are you ok now?

anonymous · Answer

no XD

anonymous · Answer

so i have y=6x(x-1)

Y=6*0*(0-1)
6*0=0
but 0-1=-1
so how does that make y=0?

triciaal · Answer

because you are multiplying 
6*0 = 0 and then multiply by -1 = 0*-1 = 0
0 * anything is = 0

anonymous · Answer

ok thanks

anonymous · Answer

How would i find the next zero?

triciaal · Answer

6 = 0 or x = 0 or (x-1) = 0
we know 6 not = 0
you chose x = 0
next option (x-1) = 0 so x = 0 + 1 = 1

anonymous · Answer

wow o my gosh that makes sense! so the second zero is 1

triciaal · Answer

excellent!!
just remember if you multiply and get zero then one of the factor = zero

anonymous · Answer

is it possible to have more than 2 zeros?

triciaal · Answer

not sure what you mean
  but if the product is zero look at the factors 
you can have many factors to multiply

triciaal · Answer

above for this problem you had 3 factors to multiply and give a product of zero

anonymous · Answer

like how we had 3 factors but only we were only able to use 2 to get answers...
could you have more than 2 zeros? or would you need more factors?

triciaal · Answer

it's still one 0 the value for y
 set each factor to =0 to determine the possible values of x that will make y = 0

triciaal · Answer

for example if you had  y = (x-2)x(x-1)=0
then (x-2)=0 or x = 0 or (x-1) =0

anonymous · Answer

ok c: thank you

triciaal · Answer

you are always welcome.