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Finding the Missing Terms

8.7.4 Finding the Missing Terms

8.7.4 • Finding the Missing Terms

Cool Down

Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers.

1.

x 2 ◻ 16 x ◻ 17 x 2 ◻ 16 x ◻ 17 and ( x + 1 ) ( x − 17 ) ( x + 1 ) ( x − 17 )

Compare your answer:

− and –. The completed expression is x 2 − 16 x − 17 x 2 − 16 x − 17 .

2.

x 2 ◻ 16 x ◻ 17 x 2 ◻ 16 x ◻ 17 and ( x − 1 ) ( x + 17 ) ( x − 1 ) ( x + 17 )

Compare your answer:

+ and –, respectively. The completed expression is x 2 + 16 x − 17 x 2 + 16 x − 17 .

3.

x 2 + 3 x − 28 x 2 + 3 x − 28 and ( x + ◻ ) ( x − ◻ ) ( x + ◻ ) ( x − ◻ )

Compare your answer:

7 and 4, respectively. The completed expression is ( x + 7 ) ( x − 4 ) ( x + 7 ) ( x − 4 ) .

4.

x 2 − 12 x − 28 x 2 − 12 x − 28 and ( x ◻ ◻ ) ( x ◻ ◻ ) ( x ◻ ◻ ) ( x ◻ ◻ )

Compare your answer:

−14 and +2. The completed expression is ( x − 14 ) ( x + 2 ) ( x − 14 ) ( x + 2 ) .