Question

Check whether the polynomial p(v) = 3 3 + 2 − 20 + 12 is a multiple of 3 − 5 .​

Answer 1

Answer:

No.

Step-by-step explanation:

Soln: Here,

p(v) = 3v³ + v² - 20v +12

then, the zero of 3v - 5:

3v - 5 = 0

.•. v = 5/3

p(5/3) = 3 × (5/3)³ + (5/3)² - 20×5/3 + 12

= 3 × 125/27 + 25/9 - 110/3 + 12

= 125/9 + 25/9 - 110/3 + 12

= (125 + 25 - 330 + 108) / 9

= (258 - 330) / 9

= -72 / 9

= -8

Hence, 3v³+ v²- 20v +12 is not a multiple of 3v - 5.

Hope it helps you!