Question

Find the remainder when 4x³–12x²+14x–3 is divisible by (2x–1).

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Answer 1

Answer:

-84(-28)

Step-by-step explanation:

4*3-12*+14*-3=-84(-28)

Answer 2

Answer:

• 3/2 is the remainder.

Step-by-step explanation:

We have,

• p(x) = 4x³ - 12x² + 14x - 3.
• p(x) is divided by (2x - 1).

To find,

• Remainder.

We know,

Remainder theorem: If f(x) is divided by (x - a) then remainder is f(a).

So, (2x - 1) - 0

• x = 1/2

⇒ p(1/2) = 4(1/2)³ - 12(1/2)² + 14(1/2) -3

⇒ p(1/2) = 4(1/8) - 12(1/4) + 7 - 3

⇒ p(1/2) = 1/2 -3 + 7 - 3

⇒ p(1/2) = 1/2 + 1

⇒ p(1/2) = 3/2

∴ The remainder when 4x³-12x² + 14x - 3 divided by (2x-1)  is 3/2.