The document contains 10 math word problems involving factoring polynomials, simplifying expressions, solving equations, and dividing polynomials. The problems cover a range of algebra concepts including factoring trinomials, combining like terms, using the distance formula, finding heights of parallelograms from given areas and bases, and long division of polynomials.

1. FE E. NANTEZA
POLYNOMIALS WORKSHEET

2. 1.) Find the factors of 5x - 35
a. 5(x-7) b. 5x-7
c. 5-7x d. 5-7x

3. 2.) Find the factors of x +22x +121
2
c. (x+11)
2
a. (x-11)(x+11) b. (x-11)2
a. (x-12)(x+11)

4. 3.) Find the factors of 16x - 40x + 25
2
d. (4x-5)2
a. (4x-5) 2 b. (4x-5)(4x+5)
c. (4-5x) (4+5x)

5. 4.)Find the sum of:
12y + 17y - 4 and 9y - 13y + 3
2 2
a. 21𝑦 + 4𝑦 − 1
2 b. 21𝑦 - 4𝑦 − 1
2
c. 21𝑦 + 4𝑦 + 1
2 d. 21𝑦 - 4𝑦 + 1
2

6. 5.) Find the sum of: (-3m + m) + (4m + 6m)
2 2
a. m - 7m b. m + 7m
c. m + 7 d. m - 7
2
2
2 2

7. 6.)Simplify the expression: (2t 3s )
2 3 4
a. 432t s b. 432t s
c. 432t s
d. 432
t s
8 12 6 7
-2 -1 8 12

8. 7.)If a rope is units long, and
there are such ropes, find the length of
all the ropes when measured together.
a. 72z - 96z − 48z
4 3
b. 72z + 96z − 48z
4 3
c. 72z - 96z + 48z
4 3

9. 8.)A car is moving with a speed of
miles/hour. Find the distance covered after
hours.
d. 2y +2y -3y - 3y
c. 2y +2y +3y - 3y
b. 2y +2y -3y + 3y
a. 2y -2y -3y - 3y
5 4 3 2
5 4 3 2
5 4 3 2
5 4 3 2

10. 9.)Base of a parallelogram is given by 2p+1.
If its area is 8p + 4p, find its height.
2
a. 4p
b. -4p
c. p
d. -p

11. 10) Divide 6n -5n -54n+45 by n+3
3 2
a. (n-3)(6n-5)
a. (n+3)(6n+5)
a. (n+3)(6n-5)
a. (n-3)(6n+5)