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Pre-Algebra - Monomials and Polynomials: Multiplying
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As you have previous learned, a monomial is one number that stands on its own and a polynomial is two or more monomial numbers that are linked together in an equation by an addition sign (+), subtraction sign (-) or a multiplication sign (x). For example: 3x2 ● 5x5. The “●” symbol will be used here in place of the normal “x” used for multiplication so as to not confuse “x” with “x” in algebra problems.
15 ● 5 = 75x10 (remember to add exponents)
Solution: 75x10
Answer (a) is the correct solution
12 ● 10 = 120x6 (remember to add exponents)
Solution: 120x6
Answer (a) is the correct solution
(7x)(4x2) = 28x3(add exponents)
(7x)(3x) = 21x2(add exponents)
(7x)(12) = 84x
Solution: 28x3 + 21x2 + 84x
Answer (d) is the correct solution
(4x)(5x2) = 20x3(add exponents)
(4x)(-2x) = -8x2 (add exponents)
(4x)(3) = 12x
Solution: 20x3 - 8x2 + 12x
Answer (a) is the correct solution
(x)(20x2) = 20x3 (add exponents)
(x)(10x) = 10x2 (add exponents)
(x)(100) = 100x
Solution: 20x3 + 10x2 + 100x
Answer (c) is the correct solution
8 ● 3 = 24
x5 + x2 = x7
Solution: 24x7
Answer (c) is the correct solution
(3x)(17x4) = 51x5 (add exponents)
(3x)(5x2) = 15x3 (add exponents)
(3x)(13) = 39x
Solution: 51x5 + 15x3 + 39x
Answer (d) is the correct solution
21 ● 8 = 168
x9 + x3 = x12
Solution: 168x12
Answer (b) is the correct solution
(10x)(5x2) = 50x3 (add exponents)
(10x)(-9x) = -90x2 (add exponents)
(10x)(22) = 220x
Solution: 50x3 - 90x2 + 220x
Answer (c) is the correct solution
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6 ● 3 = 18x9 (remember to add exponents)
Solution: 18x9
Answer (b) is the correct solution