Question

If alpha and bita arethe zeroes of the polynomial x square+7x+12 find the value of alpha+bita+2*alpha*bita

Answer 1

hope this will help you

Answer 2

Given that alpha and beta are zeros of polynomial. P(x)= x²+7x+12 therefore alpha+ beta = -( b/a)
-(b/a)= -(7/1)= -7............... equation ( 1)
alpha * beta = c/a= 12.......(2)
to find value of alpha+ beta+ 2*alpha*beta
= -7+2( 12)
=-7+ 24
= 17
therefore the value is 17