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Karolina [17]
3 years ago
12

Solve z^2-2z-35=0 using zero product

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer: z = 7 or z=-5

Step-by-step explanation:

First you need to factor the polynomial.

To factor z^{2}  - 2z -35       You will need to find two numbers that their product is -35 and their sum is -2  and the numbers -7 and 5  works out.

Rewrite the polynomial as,

z^{2} - 7z + 5z - 35  = 0   factor the left by grouping

(z^{2} -7z) (5z -35)  = 0

z(z -7)  5(z - 7) = 0      Factor out z-7

(z-7)(z+5) = 0        Now apply the zero product by setting each of them equal 0.

z-7= 0      or  z+5=0

 +7  +7             -5  -5

z = 7     or  z= -5  

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