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Pre-Algebra - Polynomials: Division (Part 1)
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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). In this quiz, we will be dealing with dividing a polynomial by a monomial - a number that stands on its own.
Let’s look at the following example of a polynomial divided by a monomial.
62x8 ÷ (-2x2) = -31x6
28x5 ÷ (-2x2) = -14x3
Solution: (-31x6) + (-14x3)
(In order to not confuse anyone between the divide symbol and the negative value of 2, parentheses are placed around the negative value monomial.)
Answer (a) is the correct solution. (Did you remember to subtract your exponents?)
57x6 ÷ 3x4 = 19x2
111x5 ÷ 3x4 = 37x
-15x4 ÷ 3x4 = -5
Solution: 19x2 + 37x - 5
Answer (c) is the correct solution. (Did you remember to subtract your exponents?)
78x2 ÷ 13x2 = 6
52x2 ÷ 13x2 = 4
Solution: 6 + 4 = 10
Answer (b) is the correct solution. (Did you remember to subtract your exponents?) In addition, this problem has a final answer of 10 as 6 and 4 are “like” numbers
45x5 ÷ (-5x) = -9x4
35x3 ÷ (-5x) = -7x2
Solution: (-9x4) + (-7x2)
(In order to not confuse anyone between the divide symbol and the negative value of 5, parentheses are placed around the negative value monomial.)
Answer (d) is the correct solution. (Did you remember to subtract your exponents?)
64x8 ÷ 8x3 = 8x5
40x6 ÷ 8x3 = 5x3
Solution: 8x5 + 5x3
Answer (a) is the correct solution. (Did you remember to subtract your exponents?)
28x6 ÷ 7x = 4x5
21x3 ÷ 7x = 3x2
14x ÷ 7x = 2
Solution: 4x5 + 3x2 + 2
Answer (b) is the correct solution. (Did you remember to subtract your exponents?)
96x2 ÷ 12x = 8x
-36x2 ÷ 12x = -3x
Solution: 8x - 3x = 5x
Answer (c) is the correct solution. (Did you remember to subtract your exponents?) In addition, this problem has a final answer of 5x as 8x and 3x are “like” numbers
24x3 ÷ 6x = 4x2
18x2 ÷ 6x = 3x
12x ÷ 6x = 2
Solution: 4x2 + 3x + 2
Answer (c) is the correct solution. (Did you remember to subtract your exponents?)
99x9 ÷ 9x = 11x8
72x4 ÷ 9x = 8x3
36x2 ÷ 9x = 4x
Solution: 11x8 + 8x3 + 4x
Answer (b) is the correct solution. (Did you remember to subtract your exponents?)
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50x6 ÷ 10x = 5x5
30x5 ÷ 10x = 3x4
-20x ÷ 10x = -2
Solution: 5x5 + 3x4 - 2
Answer (d) is the correct solution. (Did you remember to subtract your exponents?)