Question

verify if 1 and minus 3 hours use of the polynomial 3 x cube + 5 x square - 11 X + 3 then factorise the polynomial​

Answer 1

Step-by-step explanation:

$3 {x}^{3} + 5 {x}^{2} - 11x + 3$

is the polynomial

Substitute x=>1 in this polynomial =>

$3 {(1)}^{3} + 5 {(1)}^{2} - 11(1) + 3 = 3 + 5 -$

$11 + 3 = 0$

So 1 is the root of this polynomial.

Substitute x=>-3 in this polynomial =>

$3 {( - 3)}^{3} + 5 {( - 3)}^{2} - 11( - 3) + 3 = >$

$3( - 27) + 5(9) - 11( - 3) + 3 = - 81$

$+ 45 + 33 + 3 = - 81 + 81 = 0$

Hence -3 is also the root of polynomial Hence proved . Hope it helps you.