Question

Find the remainder when p(x) = x^3-ax^2+4x-3a is divided by (x-a)

Answer 1

Answer:

• Remainder obtained = a.

Solution:

Given:

→ p(x) = x³ - ax² + 4x - 3a

By Remainder Theorem:

✠ When p(x) is divided by (x - a), remainder = p(a),

= (a)³ - a × (a)² + 4 × (a) - 3a

= a³ - a³ + 4a - 3a

= a

Therefore:

→ Remainder obtained = a.

Learn More:

• Remainder Theorem: If a polynomial f(x) is divided by (x - α), then remainder = f(α).
• Using remainder theorem, the given problem is solved.