Answer:
x=5
Step-by-step explanation:
if x= -7 is a zero then (x+7) is a factor.
(x+7)*(x-5)= x2 + 2x – 35.
x=5 is the other zero.
The other zero of the function f(x) = x2 + 2x – 35, when one of the zeros of the function is x = -7, is x=5.
The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
Consider the function,
[tex]f(x) = x^2 + 2x - 35[/tex].
One of the zeros of the function is x = -7. Factor the provided function and equate it to zero, to find the another zero of the function.
[tex]x^2 + 2x - 35=0\\ x^2 + 7x-5x - 35=0\\x(x+7)-5(x+7)=0\\(x+7)(x-5)=0\\x=-7,x=5[/tex]
Hence, the other zero of the function f(x) = x2 + 2x – 35, when one of the zeros of the function is x = -7, is x=5.
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