Problem 1
What is the zero-product property?
Problem 2
To factor a polynomial completely, you must write it as the product of what two types of factors?
Problem 3
Can a quadratic expression be factored if its discriminant is \(1 ?\) Explain.
Problem 4
Find the missing term: \((a-b)^{2}=a^{2}-[?]+b^{2}.\)
Problem 13
Use the zero-product property to solve the equation. $$ (t-3)(t-5)=0 $$
Problem 19
Factor the expression. $$ 100 x^{2}-121 $$
Problem 20
Find the greatest common factor and factor it out of the expression. \(18 d^{6}-6 d^{2}+3 d\)
Problem 21
Factor the expression completely. \(24 x^{3}+18 x^{2}\)
Problem 26
Use the zero-product property to solve the equation. $$ (z+2)(z+3)=0 $$
Problem 28
Find the product. $$(x-3)(x+3)$$