# If p(x) = x^{2} + 7x + 3 is divided by x + 4. What is the remainder?

An expression having non-zero coefficients comprised of variables, constants and exponents is called polynomials.

## Answer: The remainder when the polynomial (x^{2} + 7x + 3) divided by (x + 4) is (- 9).

Let's divide and find the remainder.

**Explanation:**

To find the remainder, we will do long division.

(x^{2} + 7x + 3) ÷ (x + 4)

Dividend = Divisor × Quotient + Remainder

⇒ RHS = (x + 4) × (x + 3) - 9

= (x^{2} + 3x + 4x + 12) - 9

= (x^{2} + 7x + 12 ) - 9

= ( x^{2} + 7x + 3) = LHS

⇒ LHS = RHS

You can use Cuemath's Polynomial Calculator to divide the polynomials.