Find the quadratic polynomial whose zeros are 2/3 and -1/4 verify the relation between the coefficients and the zeros of the polynomial
Answers
Answered by
132
(x-2/3)(x+1/4)=0
(3x-2)(4x+1)=0
12x^2-5x-2=0
verification
sum of zeroes =-b/a
2/3+(-1/4)=5/12
product of zeroes =c/a
2/3 x(-1/4)=(-2/12) hence verified
(3x-2)(4x+1)=0
12x^2-5x-2=0
verification
sum of zeroes =-b/a
2/3+(-1/4)=5/12
product of zeroes =c/a
2/3 x(-1/4)=(-2/12) hence verified
Answered by
40
k[x^2 -Sx +P]
where S=Sum of zeroes and P = product of zeroes
S=2/3+(-1/4)
= 5/12
P= 2/3(-1/4)
=-1/6
substituting the values of S and P
k[x^2 - 5x/12 -1/6]
=k[ 12x^2 -5x -2]
{taking LCM}
Hope u understand
Mark me as the BRAINLIEST
where S=Sum of zeroes and P = product of zeroes
S=2/3+(-1/4)
= 5/12
P= 2/3(-1/4)
=-1/6
substituting the values of S and P
k[x^2 - 5x/12 -1/6]
=k[ 12x^2 -5x -2]
{taking LCM}
Hope u understand
Mark me as the BRAINLIEST
Similar questions