Question

find the remainder when the polynomial p(x)=2x³_5x²+3x+7 is divided (2x+1)​

Answer 1

Step-by-step explanation:

2 x + 1 = 0

x = -1 /2

Now, putting the value of x in polynomial

p ( -1/2 ) = 2 ( -1/2 ) ³ - 5 ( -1/2 ) x² + 3 (- 1/2) +7

= 2 × -1/8 - 5 × 1/4 + 3 × -1/2 + 7 = 0

-2/8 -5/4 -3/2 +7 = 0

-2 -10 -12 +56 / 8 = 0

56 - 24 / 8 = 0

32/8 = 0

4 = 0

remainder = 4