Question

Find the remainder of the polynomial x³+2x²-4x-3 divide by x-3

Answer 1

Step-by-step explanation:

x-3=0

x=3

substitute in given polynomial

xcube+2xsquare-4x-3

3cube+2X3square-4X3-3

27+2X9-12-3

27+18-15

27+3

30

Answer 2

Answer:

remainder =30

Step-by-step explanation:

$p(x) = {x}^{3} + 2 {x}^{2} - 4x - 3 \\ = p(x) = 3 \: \: (divisor \: = x - 3) \\ therefore \\ p(3) = {3}^{3} + 2 \times {3}^{2} - 4 \times 3 - 3 \\ p(3) = 27 + 2 \times 9 - 12 - 3 \\ p(3) = 27 + 18 - 12 - 3 \\ p(3) = 45 - 15 \\ p(3) = 30$