Factoring a=1

How do you recognize a perfect square trinomial?

• A trinomial is a perfect square if the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

• A trinomial is a perfect square if all three terms are equal.

• A trinomial is a perfect square if the middle term is the sum of the first and last terms.

• A trinomial is a perfect square if the first term is negative and the last term is positive.

What is the process of factoring a quadratic expression?

• Rewriting it as a sum of two linear expressions.

• Finding two numbers that multiply to the constant term and add to the coefficient of the linear term.

• Dividing the quadratic expression by its leading coefficient.

• Completing the square to find the roots.

What is a binomial?

• A polynomial with three terms, such as (x + y + z) or (a - b + c).

• A polynomial with two terms, such as (x + y) or (a - b).

• A single term polynomial, such as (x) or (a).

• A polynomial with four terms, such as (x + y + z + w) or (a - b + c - d).

What is a perfect square trinomial?

• A trinomial that can be factored into two identical binomials, such as (a + b)(a + b).

• A trinomial that can be expressed as the square of a binomial, such as (a + b)^2 = a^2 + 2ab + b^2.

• A polynomial that has three terms and is always positive.

• A quadratic equation that has no real roots.

What is the role of the hint 'Factor GCF first' in factoring polynomials?

• It suggests to factor the polynomial completely without any prior steps.

• It indicates that the polynomial cannot be factored further.

• It suggests that before attempting to factor the polynomial further, you should first identify and factor out the greatest common factor of all terms.

• It recommends using synthetic division as the first step in factoring.

What is a trinomial?

• A polynomial with two terms

• A polynomial with three terms, usually in the form ax^2 + bx + c.

• A polynomial with four terms

• A polynomial with one term

How do you factor the expression k^2 + 7k + 10?

• (k + 1)(k + 10)

• (k + 2)(k + 5)

• (k + 3)(k + 4)

• (k + 5)(k + 2)

How do you factor the expression r^2 - 16r + 60?

• (r - 6)(r - 10)

• (r + 6)(r + 10)

• (r - 5)(r - 12)

• (r + 5)(r - 12)

What is the difference between factoring and expanding polynomials?

• Factoring is the process of multiplying out the components to form the original polynomial, while expanding is breaking down a polynomial into simpler components.

• Factoring is the process of breaking down a polynomial into simpler components (products), while expanding is the process of multiplying out the components to form the original polynomial.

• Factoring and expanding are the same processes used interchangeably in polynomial mathematics.

• Factoring involves adding terms together, while expanding involves subtracting terms.

What is the significance of the coefficient 'a' in a quadratic equation ax^2 + bx + c?

• It determines the direction and width of the parabola.

• It represents the y-intercept of the equation.

• It indicates the number of real roots of the equation.

• It affects the linearity of the equation.