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Multiplying Larger Degree Polynomials using Distributing  Problem 1
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Here I’m being given a monomial that’s being multiplied by a trinomial. You could solve it using an area or rectangle. I’m going to solve it using distributing and the only thing I want to be careful of is making sure I keep track of the negative signs, not only this negative sign that’s on my 2x, but also the negative sign that show up inside the trinomial. So let’s go ahead and do it.
This 2x gets multiplied by all 3 of those terms inside the parentheses, so 2x times x to the fourth is 2x to the fifth. 2x times 2x to the third become +4, 2 times 2 is +4 and then I have x to the fourth, and then 2x times +6 becomes 12x. That’s it, that’s my answer. It’s in standard form because the exponents go in decreasing order and I’m all set.
The only way I bet you’re making errors in these, if you’re making errors, is because you’re losing those negative signs. Just be really careful that any times you have a negative times a negative, you’re writing that product as a positive number.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (4)
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Multiplying Larger Degree Polynomials using Distributing
Problem 1 5,511 viewsSimplify:
2x(x⁴ − 2x³ + 6) 
Multiplying Larger Degree Polynomials using Distributing
Problem 2 5,088 viewsMultiply:
(3x + 2)(4x² − 2x + 10) 
Multiplying Larger Degree Polynomials using Distributing
Problem 3 4,573 viewsSimplify:
(2x² − x + 6)(3x² + 2x − 1) 
Multiplying Larger Degree Polynomials using Distributing
Problem 4 821 views
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