Find the other zero of the polynomial y²+Ky-60 if one zero is -12.
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Answer:
The other zero of the polynomial y²+ky-60 is 5
Step-by-step explanation:
Here's how:
We have given one zero that is -12
So, p(-12) = 0
(-12)² + k(-12)-60=0
12-k-5=0
k=7
Now, p(×)= y²+7y-60
one factor: y=-12
y+12=0
Dividing the p(×) by (y+12) using long division method
The other factor will be (y-5)
and the other zero will be y=5
And to verify, p(5) should be equal to 0
Hope it helps.
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