Question

write a quadratic polynomial, the sum and the product of whose zeros are 3 and -2

Answer 1

Answer:

we know that ,if alpha and beta are the zeros of any polynomial,then the form of polynomial in terms of its zeros are given as;

x^2-( alpha+beta)x+(alpha•beta)

here , given that;

alpha+beta=3

alpha•beta=-2

thus required polynomial is;

x^2-3x-2.

I hope it would help you

thank you

Answer 2

Answer:

alpha = 3

beta = -2

alpha + beta = 3+(-2) = 3-2 = 1

alpha × beta = 3(-2) = 3×(-2) = -6

x²-(alpha+beta)x+(alpha × beta)

x²-(1)x+(-6)

x²-x-6