If -1 is a zero of the polynomial f(x)=x2-7x-8,then find the other zero of f(x).
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Answer:
,8
Step-by-step explanation:
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ANSWER:
- Required zero is 8
GIVEN:
- P(x) = x²-7x-8
- One zero = (-1)
TO FIND:
- Other zero.
SOLUTION:
=> x²-7x-8 = 0
=> x²-8x+x-8 = 0
=> (x²-8x)+(x-8) = 0
=> x(x-8)+1(x-8) = 0
=> (x-8)(x+1) = 0
Either (x+1) = 0
=> x = (-1)
Either (x-8) = 0
=> x = 8
So other zero = 8.
NOTE:
Some important formulas:
(a+b)² = a²+b²+2ab
(a-b)² = a²+b²-2ab
(a+b)(a-b) = a²-b²
(a+b)³ = a³+b³+3ab(a+b)
(a-b)³ = a³-b³-3ab(a-b)
a³+b³ = (a+b)(a²+b²-ab)
a³-b³ = (a-b)(a²+b²+ab)
(a+b)² = (a-b)²+4ab
(a-b)² = (a+b)²-4ab
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