Chapter 11.1, Problem 1PE

(a)

To determine

To fill: The blank in the statement “The zero product rule sates that if $ab=0$, then $a=$ _____ or $b=$ ______.”

(b)

To determine

To fill: The blank in the statement “To apply the zero-product rule, one side of the equation must be equal to ______and the other side must be written in factored form.”

(c)

To determine

To fill: The blank in the statement “The square root property states that for any real number k, if $x^2=k$, then $x=$ _____ or $x=$ ______.”

(d)

To determine

To fill: The blank in the statement “To apply the square root property to the equation $t^2+2=11$, first subtract _____ from both sides. The solution set is_______.”

(e)

To determine

To fill: The blank in the statement “The process to create a perfect square trinomial is called_____ the square.”

(f)

To determine

To fill: The blank in the statement “To complete the square for the trinomial $x^2+20x+$ ______.”

(g)

To determine

To fill: The blank in the statement “To use completing the square to solve the equation $4x^2+3x+5=0$, the first step is to divide by ______ so that the coefficient of the $x^2$ term is ____.”

(h)

To determine

To fill: The blank in the statement “Given the trinomial $y^2+8y+16$, the coefficient of the linear term is ____.”