Select one of the factors of 3x² + 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 ax² + 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 ax² + bx + c = 0.

Given quadratic equation 3x² + 10x + 3

Let us factorise the given expression by splitting middle term.

3x² + 9x + x + 3

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

(3x + 1)(x + 3)

Select one of the factors of 3x² + 10x + 3.

Summary:

(3x + 1) is one of the factors of x² + 10x + 3.