SPECIAL PRODUCTS AND FACTORING

Which mathematical statement is correct?

• a. (2x – y)(3x – y) = $6x^2–5x^2y^2+y^2$

• b. (4x – 5)(4x – 5)= $16x^2+25$

• c. (3x – 4)(2x + 7) = $6x^2+13x–28$

• d. (2x + 5)2 = $4x^2+25$

Which of the following DOES NOT belong to the group?

• $\frac{1}{4}x^4–1$

• $x^2–0.0001y^4$

• $1.6(x–1)^2–49$

Which of the following factors gives a product of   $x^2+5x+4$  ?

•   (x + 1)(x + 4)  

•   (x + 2)(x + 2)

•     (x + 5)(x – 1) 

•  $\left(x+2\right)^2$  

A polynomial expression is evaluated for the x- and y-values shown in the table below. Which expression was evaluated to give the values shown in the third column?

• $x^2–y^2$
  

• $x^2+2xy+y^2$

• $x^2–2xy+y^2$

Find the missing term: (x + ___)(3x + ___) = 3x2 + 27x + 24

• 6,4

• 4,6

• 8,3

• 12,2

The length of a box is five inches less than twice the width. The height is 4 inches more than three times the width. The box has a volume of 520 cubic inches. Which of the following equations can be used to find the height of the box?

• W(2L – 5) (3H + 4) = 520

• W(2W + 5) (3W – 4) = 520

• W(2W – 5) (3W + 4) = 520

One of the factors of  $2a^2$  + 5a – 12 is     a + 4. What is the other factor?

• 2a-3

• 2a+3

• 2a-8

• 2a+8

The area of a square is  $4x^2$   + 12x + 9 square units. Which expression represents the length of the side? 

• (3x+2) units

• (2x+3) units

• (4x+9) units

• (4x+3) units

The side of a square is x cm long. The length of a rectangle is 5 cm. longer than the side of the square and the width is 5 cm shorter. Which statement is true?

• a. the area of the square is greater than the area of the rectangle

• b. the area of the square is less than the area of the rectangle

• c. the area of the square is equal to the area of the rectangle

• d. the relationship cannot be determined from the given information

A square piece of land was rewarded by a master to his servant. They agreed that a portion of it represented by the rectangle inside, should be used to construct a grotto. How large is the area of the land that is available for the other uses?

• $4x^2-9$

• $4x^2+x+9$

• $4x^2-8x-9$

• $4x^2+9$