Question

Find the remainder, when the polynomial 2x4+x3+4x2−3x−2 is divided by x−3 (without applying long division).

Answer 1

Answer:

remainder = 214

Step-by-step explanation:

We can find by using the remainder theorem

Zero of the divisor = (x-3) = 0

x = 3

Given that

f(x) = 2x⁴ + x³ + 4x² - 3x - 2

f(3) = 2(3)⁴ + (3)³ + 4(3)² - 3(3) - 2

f(3) = 162 + 27 + 36 - 9 - 2

f(3) = 214

THEREFORE the remainder = 214

Please do mark as BRAINLIEST

Answer 2

Answer:

remainder=214

Step-by-step explanation:

x-3

x=3

p(x) =2(3)4+3(3)+4(3)2-3(3)-2

p(x) =162+27+36-9-2

p(x) =214