❌NO SPAM ❌
BEST ANSWER WILL BE MARKED AS BRAINLIEST!
Answers
Answered by
3
let other zero be x
sum of zeroes = -3/a
-1 -2 +x = -3/a
-3 + x = -3/a
ALSO product of zeroes = -6/a
-1× -2× x = -6/a
x = 3/a
also x = -3/a +3
3/a = -3/a + 3
2/a = 1
a = 2
sum of zeroes = -3/a
-1 -2 +x = -3/a
-3 + x = -3/a
ALSO product of zeroes = -6/a
-1× -2× x = -6/a
x = 3/a
also x = -3/a +3
3/a = -3/a + 3
2/a = 1
a = 2
Answered by
3
_______________________
p(x) =ax³+ 3x² - bx - 6
-1 and -2 are zeroes.
Therefore, p(-1) = 0 and p(-2) = 0
⇒ a( -1 )³ + 3( -1 )² - b( -1 ) - 6 = 0 and a × ( -2 )³ + 3 × (-2)² - b × (-2) - 6 = 0
-a + 3 + b - 6 = 0 and -8a + 12 + 2b - 6 = 0
-a + b = 3 and -8a + 2b = -6
-a + b = 3 -----------(1)
and
-4a + b = -3 ------------(2)
(1) - (2)
-a + b -(-4a + b) = 3 -(-3)
-a + b + 4a -b = 3+3
3a = 6
a = 6 / 3
-2 + b = 3 (substituting a=2 in (1) )
b = 3 + 2
p(x) = 2x³ + 3x² -5x - 6
Divide p(x) by ( x+1 ) by long division.
[Division is in the attachment]
We get the quotient as
2 x² + x - 6
= 2x² + 4x - 3x - 6 (splitting the middle term)
= 2x ( x+2 ) - 3 ( x+2 )
= ( x + 2 )( 2x - 3 )
To find the zero, put (x+2)(2x-3) = 0
Therefore, either (x+2) or (2x-3) = 0
If x+2 = 0, then x=-2, which is a zero
If 2x-3 = 0, then x=3/2, is a zero.
So, third zero = 3/2.
_______________________
Thanks for the question !
☺️☺️❤️☺️☺️
Attachments:
MsQueen:
you
Similar questions