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# Select one of the factors of 3x^{2} + 10x + 3.

(3x + 1), (3x + 3), (3x - 1), None of the above

**Solution:**

Factoring quadratics is a method of expressing the polynomial as a product of its linear factors.

It is a process that allows us to simplify quadratic expressions, find their roots and solve equations.

A quadratic polynomial is of the form ax^{2} + bx + c, where a, b, c are real numbers.

Factoring quadratics is a method that helps us to find the zeros of the quadratic equation ax^{2} + bx + c = 0.

Given __quadratic equation__ 3x^{2} + 10x + 3

Let us factorise the given expression by splitting middle term.

3x^{2} + 9x + x + 3

3x(x + 3) + 1(x + 3)

(3x + 1)(x + 3)

## Select one of the factors of 3x^{2} + 10x + 3.

**Summary:**

(3x + 1) is one of the factors of x^{2} + 10x + 3.

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