Question

The remainder when 4x3 – 3x² + 2x - 4 is divided by x-1 is​

Answer 1

Question:

• The remainder when 4x³ – 3x² + 2x - 4 is divided by x-1 is _____

Given:

• Dividend: 4x³-3x²+2x-4
• Divisor: x-1

To find:

• Remainder

Solution:

$\boxed {\frak{Using \: Remainder \: Theorem}} \orange \bigstar$

Let's Solve,

$\mapsto \sf{x - 1 = 0}$

$\mapsto \sf{x = 0+1}$

$\mapsto \underline {\boxed {\frak{x =1} }} \blue\bigstar$

• Now, take the dividend put, it in remainder theorem

$:\implies \sf{p(x) ={4x}^{3}-{3x}^{2}+ 2x - 4}$

• Put the value of x

$:\implies \sf{p(1)=4(1)^{3}-3(1)^{2}+ 2(1)-4}$

$:\implies \sf{p(1)=4(1)-3(1)+ 2(1)-4}$

$:\implies \sf{p(1)=4-3+ 2-4}$

$:\implies \sf{p(1)=4 + 2 - 3-4}$

$:\implies \sf{p(1)=6 -7}$

$: \implies \underline{\boxed{ \frak{p(1)=( - 1)}}} \pink \bigstar$

• Hence, the remainder is (-1)

Thank you :)

@itzshivani

Answer 2

Appropriate Question:

• The remainder when 3x– 3x² + 2x - 4 is divided by x-1 is _______

Required Answer:

• (-1)

Thank you!

@nupursharma