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O POLYNOMIAL AND RATIONAL FUNCTIONSUsinggiven zero to write a polynomial as aproduct of linear fa...аFor the polynomial below, 2 is a zero.2x-5xh(x)=XExpress h (x) as a product of linear factors.h (x) =i?

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O POLYNOMIAL AND RATIONAL FUNCTIONS
Using
given zero to write a polynomial as a
product of linear fa...
а
For the polynomial below, 2 is a zero.
2x-5x
h(x)
=X
Express h (x) as a product of linear factors.
h (x) =
i
?
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O POLYNOMIAL AND RATIONAL FUNCTIONS Using given zero to write a polynomial as a product of linear fa... а For the polynomial below, 2 is a zero. 2x-5x h(x) =X Express h (x) as a product of linear factors. h (x) = i ?

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Step 1

Given,

 

h(x)=x32x2 -5x -6 and 2 is a zero.
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h(x)=x32x2 -5x -6 and 2 is a zero.

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Step 2

Therefore,

 

If a is a factor of a
(x-2) is one of the factor of h(x)
polynomial then (x-a) is
factor of that polynomial
Now dividing h(x)=x' +2x2 -5x -6 by (r-2), we get
2x25x6- 2 + 4x + 3
x -2
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If a is a factor of a (x-2) is one of the factor of h(x) polynomial then (x-a) is factor of that polynomial Now dividing h(x)=x' +2x2 -5x -6 by (r-2), we get 2x25x6- 2 + 4x + 3 x -2

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Step 3

Now factorizing the obtained qu...

x24x3
x2 +x+3x + 3
x(x+1)+3(x1
=(x+1)(x+3)
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x24x3 x2 +x+3x + 3 x(x+1)+3(x1 =(x+1)(x+3)

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