Factoring and Solving Quadratics Practice

Front

What is the difference between a factoring problem and a solving problem?

Back

Factoring problems involve expressions, while solving problems involve equations.

Front

What is the completely factored form of x^3 - 4x^2 - 4x + 16?

Back

(x-4)(x-2)(x+2)

Front

How do you solve the equation p^2 + 12p + 35 = 0 by factoring?

Back

The solutions are {-7, -5}.

Front

What is the completely factored form of x^2 + 9x + 18?

Back

(x + 3)(x + 6)

Front

Which expression is a factor of 3x^2 - 17x + 10?

Back

(3x - 2) is a factor.

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic, linear, and constant terms.

Front

What does it mean to factor a polynomial completely?

Back

To express the polynomial as a product of its irreducible factors.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation when factoring is not possible.

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.

Front

How can you check if a factor is correct?

Back

By multiplying the factors back together to see if you obtain the original polynomial.