Question

Find a quadratic polynomial each with the given number as the sum and product of its zeros respectively and find its zeros: -
1)-8/3,4/3
2)21/8,5/16

Answer 1

Explanation:

you cam See the aboie pic for the answer

HOpe it helps

Answer 2

Explanation:

(1) alfa+ beta = -8/3, alfa×beta = 4/3

polynomial = x²-(-8/3)x+4/3

= x²+8/3x+4/3

= x²+(6/3+2/3)x +4/3

= x²+2x+2/3x+4/3

= x(x+2) +2/3( x+2)

= (x+2)(x+2/3)

zeroes are -2 and -2/3

(1) alfa + beta = 21/8, alfa×beta = 5/16

polynomial = x²-(21/8)x+ 5/16

x = 21/4±(√441/64-20/16) /2

= 21/4±(√361) /2

=21/4±19/2

=> x = 59/4 , x = -17/4

zeroes are 59/4 and -17/4

hope this helps you