Obtain all zeros of f(x) =x^3+13x^2+32x+20, if one of its zeroes is - 2
Answers
Answered by
12
Hi Mate !
If - 2 is the zeros of
f ( x ) = x³ + 13x² + 32x + 20
then, ( x + 2 ) is also the factor of f ( x ) While dividing the f ( x ) by ( x + 2 ) we get 0 as remainder !!
Hence , the Zeros are
Used theorem is ' Factor theorem '
according to which
f ( x ) = q ( x ) × p ( x ) + r ( x )
Where , q ( x ) is the quotient
p ( x ) is the polynomial by which f ( x ) is divided
r ( x ) is the remainder !!
here , remainder comes to be Zero !!
If - 2 is the zeros of
f ( x ) = x³ + 13x² + 32x + 20
then, ( x + 2 ) is also the factor of f ( x ) While dividing the f ( x ) by ( x + 2 ) we get 0 as remainder !!
Hence , the Zeros are
Used theorem is ' Factor theorem '
according to which
f ( x ) = q ( x ) × p ( x ) + r ( x )
Where , q ( x ) is the quotient
p ( x ) is the polynomial by which f ( x ) is divided
r ( x ) is the remainder !!
here , remainder comes to be Zero !!
Attachments:
Similar questions