ALGEBRA

Algebra- ASSIGNMENT



Algebra - ASSIGNMENT

1.

110x^4, 70x^5, 60x^8 = 10x4

2.

= 5y + 30

= 5(y+6)

3.

15x2 - 6x

= 3x(5x-2)

=3x

4.

7x8 -21x7 + 21x6

21x6 -21x7 + 7x8

7x6(3 - 3x + x2)

= The factorization is 7x6(3 - 3x + x2)

7x6 =GCF

5.

4b(a - 7) - 7(a - 7)

= (a-7)(4b-7) = 1

6.

6x(y - 9)+ 7(9 - y)

= (y-9)(6x-7) = 1

7.

B = cq + fq

B = q(c + f)

q=B/(c+f)

8.

9x (b - 4) + 7(4 - b)

= (9x-7)(b-4)

9.

= 12x^2y^5, 8x^6y^4, 20x^3y^3

= 4x2y3

10. A=nH+nG+K

N=A-KANSWER

H+G

11.

= x^2 - 6x - 16 = (x + 2)(x - 8)

12.

x^2 + 13x + 42

42 + 13x + x^2

(7 + x)(6 + x)

A. x^2 + 13x + 42 = (7 + x)(6 + x)

13.

x2 + 11x + 24

24 + 11x + x2

(8 + x)(3 + x)

A. x2 + 11x + 24 = (8 + x)(3 + x)

14.

x2 + -1x + -6

-6 + -1x + x2

(-2 + -1x)(3 + -1x)

A. x2 + -1x + -6 =

15.

x2 + -11x + -24

A. x2 + -11x + -24 = Hence, the polynomial is prime.

16.

-1r2 + 8r + 20

20+ 8r + -1r2

-(r - 10)(2 + r) ANSWER

17.

s2 + -10sy + 21y2

-10sy + s2 + 21y2

(s -7y)(s -3y)

18.

x2 + 13xy + 42y2

13xy + x2 + 42y2

(x + 6y)(x + 7y)

19.

3x3 + -18x2 + 15x

15x + -18x2 + 3x3

3x(5 + -6x + x2)

3x[(x-5)(x-1)]

20.

-1q2 + -10q + -9

-9 + -10q + -1q2

-1(9 + 10q + q2)

-1((9 + q)(1 + q))

21.

2x2 + 20x + -78

-78 + 20x + 2x2

2(-39 + 10x + x2)

22.

s2 + 30 + -13s

23.

Answer C

24.

3a2 + 8a + 5

5 + 8a + 3a2

(5 + 3a)(a + 1)

25.

B = The polynomial is prime

26.

20c2 + -17c + -63

-63 + -17c + 20c2

(5c + 7)(4c - 9)

27.

-6n2 + -1n + 35

35 + -1n + -6n2

28.

2c2 +11c + 5 = ANSWER

29.

4v2 + -22v + 10

10 + -22v + 4v2

2(5 + -11v + 2v2)

30. ...