Question

find a quadratic polynomial of-8/3&4/3

Answer 1

zeros of quadratic polynomial arr -8/3 & 4/3
sum of zeros =-8/3 + 4/3
=-4/3
multiplication of zeros =-32/9
so, quadratic polynomial=x^2-(sum of zeros)x+(multiplication of zeros)
=x^2-(-4/3)x+(-32/9)
=x^2+4x/3-32/9
=9x^2+12x-32 answer

Answer 2

Quadratic polynomial of roots a and b is,

x²-(a+b)x + ab = 0,

Here according to the data let,

a = -8/3 and b = 4/3 or vice versa,
the required polynomial is,

x² - (-8/3+4/3)x + (-8/3*4/3) = 0,
=> x² - (-4/3)x + (-32/9) = 0,
=> x²+ 4/3x -32/9 = 0,
=>(9x² + 12x - 32)/9 = 0,
=> 9x² + 12x - 32 = 0, is the required polynomial !!!

Hope you understand !!