Intermediate Algebra -- DCA #2 -- Review

Valerie said that the GCF of two monomials is 7bc. What two monomials did she use?

Which is a factored form of 4x² + 20x + 25?

A student tried to multiply two binomials. Their work is shown below: Step 1: (2x - 3)(x - 2) Step 2: 2x² - 4x - 3x - 6 Step 3: 2x² - 7x - 6 In which step did the student make the first error?

Which of the following binomials is a difference of squares?

A student is factoring the problem 2n² + n - 15. The student has begun the factoring process and has gotten

2n(n + 3) - 5(n + 3).

What is the final result that the student got when factoring the problem?

The rectangle has an area of x² + 11x + 28 square meters and a length of x + 7 meters. What expression represents the width of the rectangle.

Which binomial is a factor of the polynomial 2x² + 13x - 7?

Factor 6a³ - 3a² + 8a - 4 by grouping.

Determine the number of real solutions for the quadratic x² + 2x + 5 = 0.

Determine the number of real solutions for the quadratic x² + 6x - 7 = 0.