91Ó°ÊÓ

When a polynomial is factored completely, each factor is ______ over the integers.

Name the common binomial factor in the expression \(5 b(c-6)+8(c-6).\)

The first step in any factoring problem is to factor out the greatest common factor. The second step depends on the number of terms in the polynomial. State what the next step in factoring could be. The polynomial has three terms.

When factoring a trinomial, if the constant term is negative, will the signs in the binomials be the same or different?

The first step in any factoring problem is to factor out the greatest common factor. The second step depends on the number of terms in the polynomial. State what the next step in factoring could be. After factoring a polynomial, how do you check your answer?

Determine whether the statement is always true, sometimes true, or never true. If a binomial is multiplied times itself, the result is a perfect-square trinomial.

The trinomial \(16 y^{2}-8 y+1\) is in the form \(a^{2}-2 a b+b^{2},\) where \(a=\)__________ and \(b=\) _____________

Explain the rule for factoring: a. the difference of two squares b. a perfect-square trinomial

Factor. $$16 y^{4}+48 y^{3}+36 y^{2}$$

For Exercises 5 to \(62,\) solve. $$4 x^{2}-49=0$$