1st Quarter

Question 1

Steps in Squaring a Binomial:

Answer 1

(first term)2
2(first term)(second term)
(second term)2

Question 2

(2x + 3)2

Answer 2

= 4x2 + 12x + 9

Question 3

(m2 – 6n2)2

Answer 3

= m4 – 12m2n2 + 36n4

Question 4

Steps in Squaring a Trinomial:

Answer 4

(first term)2
(second term)2
(third term)2
2(first term)(second term)
2(first term)(third term)
2(second term)(third term)

Question 5

(2x – 6y + 3)2

Answer 5

= 4x2 + 36y2 + 9 – 24xy + 12x – 36y

Question 6

(5m+7)(5m–7)

Answer 6

= 25m2 –49

Question 7

3(4x + 3y)(4x – 3y)

Answer 7

= 3(16x2 – 9y2)

= 48x2 – 27y2

Question 8

(3x2y + 7z2)(3x2y – 7z2)

Answer 8

= 9x4y2 – 49z4

Question 9

Getting the Cube of a Binomial

Answer 9

(First Term)3
3 (First Term)2 (Second Term)
3 (First Term)(Second Term)2
(Second Term)3

Question 10

(x2 + 5y2)3

Answer 10

x6 + 15x4y2 + 75x2y4 + 125y6

Question 11

(x2 +1)3

Answer 11

=x6 +3x4 +3x2 +1

Question 12

x2 – 16 square root

Answer 12

(x + 4)(x – 4)

Question 13

12a3 – 27ab2

Answer 13

= 3a(4a2 - 9b2)

= 3a (2a + 3b)(2a – 3b)

Question 14

factoring quadratic trinomial

Answer 14

Find two factors of c whose sum equals the coefficient b

Question 15

x2 – 7x – 18

Answer 15

= (x – 9)(x + 2)

Question 16

x2 –6x–7

Answer 16

=(x–7)(x+1)

Question 17

3x2+5x+2

Answer 17

6x
3x2 + 3x + 2x + 2
3x (x + 1) +2 (x + 1)
(3x + 2)(x + 1)

Question 18

4x2 +22x+24

Answer 18

96x
4x2 + 16x + 6x + 24
4x (x + 4) + 6 (x + 4)
(4x + 6)(x + 4)
2 (2x + 3)(x + 4)