Factor Quadratic Trinomials

Front

What is a quadratic trinomial?

Back

A quadratic trinomial is a polynomial of degree 2 that can be expressed in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic trinomial?

Back

Factoring a quadratic trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the role of the leading coefficient in factoring?

Back

The leading coefficient (a) affects the shape of the parabola and can influence the factoring process.

Front

How do you identify the coefficients in a quadratic trinomial?

Back

In the trinomial ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a quadratic trinomial?

Back

The first step is to look for a common factor in all terms.

Front

What is the significance of the discriminant in factoring?

Back

The discriminant (b² - 4ac) determines the nature of the roots of the quadratic equation and can indicate if it can be factored over the integers.

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

Factor the expression: 5g² + 15g + 10

Back

5(g + 2)(g + 1)