Which monomials are perfect squares? Check all that apply.
answer
1, 49x2,81x6
question
What are the two binomial factors for x2 - 25?
answer
(x - 5)(x + 5)
question
Consider the polynomial 9x2 - 16.
1.What is the value of ac?
2.What is the value of b?
3.What two numbers multiply to get ac and add to get b?
4.The factored form of 9x2 - 16 is
answer
1. -144
2. 0
3. -12 and 12
4. (3x-4)(3x+4)
question
Factor the difference of two perfect squares using the X method.
What are the two binomial factors for x2 - 25?
answer
(x - 5)(x + 5)
question
The polynomial is a difference of perfect squares. Use the formula a2 - b2 = (a + b)(a - b) to factor completely.
81x2 - 49
1. The value of a is .
2. The value of b is .
3.The product of the prime factors is .
answer
1. 9x
2. 7
3. (9x-7) (9x+7)
question
What is the factored form of 36x4 - 25?
answer
(6x2 - 5)(6x2 + 5)
question
Which expressions represent a perfect square monomial and its square root? Check all that apply.
answer
a. 121;11
b. 4x2;2x
e. 49x4;7x2
question
Complete the factorization of 4x2 - 9.
answer
4x-9=
(2x-3)(2x+3)
question
What are the factors of x2 - 144?
answer
(x-12)(x+12)
question
Consider the polynomial 16x2 - 1.
1. What is the value of ac?
2. What is the value of b?
3. What two numbers multiply to get ac and add to get b?
4. The factored form of 16x2 - 1 is
answer
1. -16
2. 0
3. -4 and 4
4. (4x-1)(4x+1)
question
Use the formula a2 - b2 = (a + b)(a - b) to factor completely.
What are the factors of 36x8 - 49?
answer
(6x4 - 7)(6x4 + 7)
question
A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters.
Which expression represents the area of the remaining paper shape in square centimeters?
answer
(3x - 4)(3x + 4)
question
Analyze Cecile's work. Is it correct?
answer
Yes, Cecile factored the polynomial correctly.
question
What is the factorization of 121b4 − 49?
answer
(11b2 + 7)(11b2 − 7)
question
Which polynomial can be simplified to a difference of squares?
answer
16a2 - 4a + 4a - 1
question
What is the factorization of 49b2 − 81?
answer
(7b - 9)(7b + 9)
question
Which expression is equivalent to 100 n2 − 1?
answer
(10n)2 − (1)2
question
The area of a square can be represented by the expression x10. Which monomial represents a side of the square?
answer
x5
question
Which expression is equivalent to 36x2 − 25?
answer
(6x)2 − (5)2
question
Which expressions are equivalent to 25x4 −64? Select three options.
