Question

3x^4 - 4x^3 -3x - 1 Divide by x-2

Now Don't Say That Question is Wrong or whatever, I just want right answer.​

Answer 1

Answer:

Given:

2x4 + 8x3 + 7x2 + 4x + 4 is divided by x + 3

Concept used:

If (x + a) is a divisor of polynomial p(x)

Remainder = value of p(-a)

Calculation:

p(x) = 2x4 + 8x3 + 7x2 + 4x + 4

⇒ p(x) when divided by (x + 3)

⇒ Remainder = p(-3)

⇒ Remainder = 2 × (-3)4 + 8 × (-3)3 + 7 × (-3)2 + 4 × (-3) + 4

⇒ Remainder = 162 - 216 + 63 - 12 + 4

⇒ Remainder = 1

Let g(x) = 2x4 + 8x3 + 7x2 + 4x + 3

⇒ g(x) when divided by (x + 3) gives remainder g(-3)

⇒ Remainder = g(-3)

⇒ Remainder = 2 × (-3)4 + 8 × (-3)3 + 7 × (-3)2 + 4 × (-3) + 3

⇒ Remainder = 162 - 216 + 63 - 12 + 3

⇒ Remainder = 0

∴ 2x4 + 8x3 + 7x2 + 4x + 3 is divided by x + 3 remainder is 0.

Answer 2

Answer:

This is the correct answer for this question