Module 5 Test Remediation

Front

What is synthetic division?

Back

A method used to divide a polynomial by a linear factor of the form (x - c) without using long division.

Front

What is the left-hand box in synthetic division?

Back

The value of c from the linear factor (x - c) being used for division.

Front

Factor the polynomial x^2 + 9x - 36.

Back

(x + 12)(x - 3)

Front

What are the solutions to the equation a^2 - 9 = 0?

Back

a = 3, -3

Front

Factor the polynomial x^3 - x^2 + 2x - 2.

Back

(x^2 + 2)(x - 1)

Front

What is the proper way to write the polynomial 2x^3 - x^2 - 25x - 12?

Back

2x^3 - x^2 - 25x - 12

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a, used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What does it mean to factor a polynomial?

Back

To express the polynomial as a product of its factors, which are polynomials of lower degree.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of multiple terms (e.g., ax^n + bx^(n-1) + ...), while a monomial is a single term (e.g., ax^n).

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.