Question

Find the value of c for which the polynomial 2x^3-7x^2-3x+c is exactly divisible by 2x+3

Answer 1

Answer:18

Step-by-step explanation:2x_3 is a factor of polynomial

2x_3=0

×=_3/2

Put in polynomial find the value of c

Answer 2

Value of c must be 18 for which the polynomial 2x3 - 7x² - 3x + c is exactly divisible by 2x + 3.

Step-by-step explanation:

2x + 3 = 0

2x = -3

x = -3/2

P(x) = 2x³ - 7x² - 3x + c

P(-3/2) = 0

P(-3/2) = 2(-3/2)³ - 7(-3/2)² - 3(-3/2) + c

0 = -27/4 - 63/4 + 9/2 + c

0 = -27/4 - 63/4 + 18/4 + c

c = 27/4 + 63/4 - 18/4

c = 18