If -1 is the zero of the polynomial f x is equal to x square - 7 x minus 8 then calculate the other 0
Answers
one of its zero is -1
we could just factorise the given polynomial
we will get
x²-8x+x-8=0
x²+x-8x-8=O
x(x+1)-8(x+1)=O
(x-8)(x+1)=O
therefore your zeroes are-1 and 8
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Answer:
The other zero of the polynomial x²-7x-8 is 8.
Step-by-step explanation:
Given polynomial is
f(x) = x²-7x-8
Also given one of the zero of f(x) is -1
which means f(-1) = 0
Let us check by substituting x = -1 in f(x)
f(-1) = (-1)²-7(-1)-8
= 1+7-8
= 0
Hence verified.
- We can find zeroes of the polynomial by considering it as a quadratic equation and by solving it we get two roots those will be the zeros of the equation.
- Let the quadratic equation be x²-7x-8 = 0
Now solve the equation by factorization method
x²-7x-8 = 0
x²-8x+x-8 = 0
x(x-8)+1(x-8) = 0
(x-8)(x+1) = 0
x-8 = 0 or x+1 = 0
x = 8, -1
Hence the two zeros of the equation are 8 and -1.
As one of the zero is given as -1 then the other zero of the
polynomial is 8.
By substituting x = 8 in f(x) = x²-7x-8
f(8) = (8)²-7(8)-8
= 64 - 56-8
= 0
Since f(8) = 0
Hence the other zero of the polynomial is 8.
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