DIRECTION: Classify each algebraic expression according to the number of terms, then identity the
degree of each expression.
1. 6xyz
6. (4m)
11. b+c+d
2. 6xy?
7. 8x + 3y - 1
12. (2x + 5yz
3. 15x yaz? - 1 + 2x^yz2 8.5(a? - b)
13. (3x)(57)
4. 5x² – 134²
9. ab + 6
14.-2(x+y+z)
-
5. xy (6x?y3)
10.-7m4n5-9mn
15. x2 + y2-5
PASAGOT NG TAMA KONG AYAW MO MAREPORT
Share
Answer:
uom
(6xy) × (-3x²y³)
= {6 × (-3)} × {xy × x²y³}
= -18x1+2 y1+3
= -18x³y⁴.
(ii) 7ab², -4a²b and -5abc
Solution:
(7ab²) × (-4a²b) × (-5abc)
= {7 × (-4) × (-5)} × {ab² × a²b × abc}
= 140 a1+2+1 b2+1+1 c
= 140a⁴b⁴c.
II. Multiplication of a Polynomial by a Monomial
Rule:
Multiply each term of the polynomial by the monomial, using the distributive law a × (b + c) = a × b + a × c.
Find each of the following products:
(i) 5a²b² × (3a² - 4ab + 6b²)
Solution:
5a²b² × (3a² - 4ab + 6b²)
= (5a²b²)