Discriminant. Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.
Yes this is proportional. The constant term is the y is 2 times then the x . Y= x•2
760 total students....4 out of 7 graduated...3 out of 7 didn't
so 4/7(760) = 3040/7 = 434.28 <== so approx. 434 will graduate
and 3/7(760) = 2280/7 = 325.7...and approx. 326 won't graduate
By the remainder theorem, the remainder upon dividing a polynomial
by a linear binomial
is equal to
. Via synthetic division, we get
1 | 4 -5 6
. | 4 -1
- - - - - - - - - - -
. | 4 -1 5
which translates to
or
Indeed, when
, the first term on the right hand side vanished and we're left with 5.
