Factoring Trinomials

How do you identify the coefficients in a trinomial?

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

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

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

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

What does it mean if the discriminant is negative?

• The trinomial has two distinct real roots.

• The trinomial has one real root.

• The trinomial has no real roots (the roots are complex).

• The trinomial has infinitely many real roots.

What does it mean if the discriminant is zero?

• The trinomial has no real roots.

• The trinomial has exactly one real root (a repeated root).

• The trinomial has two distinct real roots.

• The trinomial has complex roots.

How can you factor the trinomial x² + 9x - 36?

• (x + 12)(x - 3)

• (x + 6)(x + 6)

• (x - 12)(x + 3)

• (x + 9)(x - 4)

How can you factor the trinomial 2x² + 3x - 9?

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)

• (x - 3)(2x + 3)

• (2x - 3)(x + 3)

What are the factors of 4n² - 17n - 15?

• (n - 5)(4n + 3)

• (n + 5)(4n - 3)

• (n - 3)(4n + 5)

• (n + 3)(4n - 5)

What is the complete factorization of 3x² + 10x - 8?

• (3x - 2)(x + 4)

• (3x + 2)(x - 4)

• (x + 2)(3x - 4)

• (3x - 4)(x + 2)

What does it mean if the discriminant is positive?

• The trinomial has no real roots.

• The trinomial has one real root.

• The trinomial has two distinct real roots.

• The trinomial has complex roots.

What is the general form of factoring a trinomial?

• (x + p)(x + q) where p and q are numbers that satisfy the equation.

• (x - p)(x - q) where p and q are constants.

• (x + p)(x - q) where p and q are integers.

• (x^2 + px + q) where p and q are coefficients.

What is the first step in factoring a trinomial?

• Identify the coefficients a, b, and c.

• Multiply the coefficients together.

• Add the coefficients a, b, and c.

• Subtract the constant term from the leading coefficient.