Question

if a and b are the zeros of the polynomial x^2+x-6, then form a quadratic equation whose zeros are 2a and 2b

Answer 1

so when a number is the zero of a polynomial then when you keep the number`s value in the variable of the polynomial you get the answer as 0.
so for to construct a quadratic equation which`s 0s r the 2wice of the polynomial given then you have to multiply
u know wht to be frank a quadrtic eq is an eq whos power is 2 n tht to constrct 1 u need 3 trm the frst is a square secnd is a variable wth power1 n the lst 1 is a number n so the ans is 2x^2+2x-12 as cuz a is a 0 of the polynmial p(x)then x-a is a factor n p(a)=0n frm thr we get a^2+a=6
n in secnd case if we tk 2 cmmn thn we get 2(x^2+x-6)=0
x^2+6=0
2(6-6)=0
2*0=0
hence,proved