Problem 2
To factor a polynomial completely, you must write it as the product of what two types of factors?
Problem 3
Explain how to use the distributive property to find the product. $$ (2 x-3)(x+4) $$
Problem 3
Name three ways to find the solution(s) of a quadratic equation. Which way do you prefer? Explain.
Problem 3
Are \(-5,2,\) and 3 the solutions of \(3(x-2)(x+5)=0 ?\) Explain.
Problem 3
Factor \(x^{2}+2 x-3 .\) When testing possible factorizations, why is it unnecessary to test \((x-1)(x-3)\) and \((x+1)(x+3) ?\)
Problem 3
Can a quadratic expression be factored if its discriminant is \(1 ?\) Explain.
Problem 3
Tell whether the following statement is true or false . The product of \((a+b)\) and \((a+b)\) is \(a^{2}+b^{2}\) Explain.
Problem 3
consider the polynomial expression \(5 x+6-3 x^{3}-4 x^{2}\) Name the coefficients of the terms. Which is the leading coefficient?
Problem 4
Tell whether the statement about \(x^{2}+12 x+32\) is true or false. $$ x^{2}+12 x+32=(x+4)(x+8) $$
Problem 4
The sum of a number and its square is zero. Write and solve an equation to find numbers that fit this description.
