# The quotient of (x^{4} + 5x^{3} - 3x - 15) divided by a polynomial is (x^{3} - 3). What is the polynomial?

**Solution:**

Given polynomial (x^{4} + 5x^{3} - 3x - 15). Let it be f(x)

Quotient is (x^{3} - 3). Let it be q(x)

The divisor p(x) and the remainder r(x) can be obtained by long division of the polynomial f(x) by q(x)

f(x) = p(x) × q(x) + r(x)

Hence, the required polynomial is x + 5

## The quotient of (x^{4} + 5x^{3} - 3x - 15) divided by a polynomial is (x^{3} - 3). What is the polynomial?

**Summary:**

The quotient of (x^{4} + 5x^{3} - 3x - 15) divided by a polynomial is (x^{3} - 3). The required polynomial is x + 5.

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