Chapter 8 Worksheet With Answers - Montville Township Public Schools Page 2
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38Study Guide and Review - Chapter 8
So, the statement is true.
2
7. x
− 16 is an example of a perfect square trinomial.
SOLUTION:
The statement is false. Perfect square trinomials are trinomials that are the squares of binomials.
2
2
x
− 16 is the product of a sum and a difference. So, x
− 16 an example of a difference of squares.
2
8. 4x
– 2x + 7 is a polynomial of degree 2.
SOLUTION:
true
2
9. The leading coefficient of 1 + 6a + 9a
is 1.
SOLUTION:
The standard form of a polynomial has the terms in order from greatest to least degree. In this form, the coefficient
of the first term is called the leading coefficient. For this polynomial, the leading coefficient is 9.
10. The FOIL method is used to multiply two trinomials.
SOLUTION:
false; binomials
FOIL Method:
To multiply two binomials, find the sum of the products of F the First terms, O the Outer terms, I the Inner terms, L
and the Last terms.
Write each polynomial in standard form.
2
11. x + 2 + 3x
SOLUTION:
2
The greatest degree is 2. Therefore, the polynomial can be rewritten as 3x
+ x + 2.
4
12. 1 – x
SOLUTION:
4
The greatest degree is 4. Therefore, the polynomial can be rewritten as –x
+ 1.
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13. 2 + 3x + x
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