Find `alpha\ a n d\ beta` , if `x+1\ a n d\ x+2` are factors of `x^3+3x^2-2alphax+beta`

Find alpha and beta if x+1 and x+2 are factors of p(x)=x^(3)+3x^(2)-2alphax+beta .

Find alpha and beta, if x+1 and x+2 are factors of x^(3)+3x^(2)-2 alpha x+beta

find alpha and beta if (x+1) and (x+2) are factors x^3+3x^2-2alphax+beta

If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alpha and beta

If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alpha and beta

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

If alpha\ a n d\ beta are the roots of 4x^2+3x+7=0 then the value of 1/alpha+1/beta is a) 4/7 b) -3/7 c) 3/7 d) -3/4

If alpha, beta, 1 are the roots of x ^(3) - 2x ^(2) - 7x + 6 =0, then find alpha, beta.

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+alphax+beta=0 have atleast one common roots, then the value of alpha+beta is