Question

check that the 2 is the factor of 3y³+4y²-5y +2​

Answer 1

Answer:

No.......

Step-by-step explanation:

IF 2 IS A FACTOR THAN THE ANSWER MUST ME 0.

SO, PUTTING 2 IN THE GIVE EQUATION WE'LL GET:-

$p(y) = 3(y)(y)(y) + 4 {y}^{2} - 5y + 2 \\ p(2) = 3(2)(2)(2) + 4( {2}^{2} ) - 5(2) + 2 \\ = 24 + 13 - 10 + 2 \\ = 26 + 3 \\ = 29......$

So , p(y) not equals to 0

HENCE 2 IS NOT A FACTOR OF p(y)..

Answer 2

Answer:

$3 {y}^{3} + 4 {y }^{2} - 5y + 2$

$p(2) = 3 {(2)}^{3} + 4 {(2)}^{2} - 5(2) + 2$

$= 3(8) + 4(4) -10 + 2$

$= 24 + 16 - 10 + 2$

$= 24 + 16 + 2 - 10$

$= 32 - 10$

$= 22$

hence 2 is the factor of given equation.

Step-by-step explanation:

hope it helps you. ......