00:03
I are so given a polynomial i mean we're not even a polynomial we're given the real zeros and the degree right so real zeros are given as minus 4 minus 3 the real zeros that are given as minus 4 minus 3 4 5 4 5 5 these are the real 0 is given and degree is given as 4 so degree is given as 4 as degree is given us here so um i understand the basic concept behind polynomial.
00:43
To make a 4 degree polynomial, we have 0s are given as, let's say, a, b, c, d.
00:47
So 4 degree polynomial is given as fx is equal to x minus a, x minus b, x minus c, x minus d.
00:58
That is the 4 degree polymer we have, right? so we're given here these are zeros, right? so the 4 degree volume is coming out to be fx is equal to x minus minus.
01:12
4 right and then we have x minus minus 3 then we have x minus 4 x minus 5 that is the 4 degree polynomial 4 degree means extra power 4 the next point is here we have the leading coefficient is 1 here here is the leading coefficient here that is 1 right so there's 1 here at the leading coefficient here right now what we do is simplify this so we get it as x plus 4 x plus 3 x minus 4 x minus 5 let's multiply so first of the multiply here x plus 4 x plus 3 we get x square plus 7x plus 12 times we have multiplied this x minus 4 x minus 5 we get x square minus 9x plus 20 this we get here x square minus 9x plus 20 right so now if you multiply here this 2 1 1 1st we get first, let's multiply with x square.
02:15
So x squared matter with this polynomial here, we get extra power 4 minus 9x cube plus 20 x squared...