Math, asked by Sumithra5645, 11 months ago

If -1 is a zero of the polynomial f(x)=x2-7x-8,then find the other zero of f(x).

Answers

Answered by suhi458
0

Answer:

,8

Step-by-step explanation:

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Attachments:
Answered by Sudhir1188
8

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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