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15 Cards in this Set
- Front
- Back
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How many terms are in this polynomial?
7x³-5x²+x |
There are 3 terms.
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Which term in this polynomial has the highest degree?
How do you know? 7x³-5x²+x |
7x³ has the highest degree, because it is the term raised to the highest power.
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A polynomial that has three terms can also be called a __________.
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A polynomial that has three terms can also becalled a trinomial.
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An expression with two terms is called a __________.
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An expression with two terms is called a binomial.
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An expression with one term is called a __________.
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An expression with one term is called a monomial.
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What is the degree of this polynomial?
How do you know? 7x³-5x²+x |
The degree is 3 because the overall degree of any polynomial is represented by the degree of the term with the highest degree.
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What is the coefficient for each term of this polynomial?
7x³-5x²+x |
The coefficient on the first term is 7, the coefficient on the second term is 5 and the coefficient on the third term is 1.
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What are the factors for each term of this polynomial? 7x³-5x²+x
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The factors for the first term are 7 and x³, the factors for the second term are 5 and x², and the factors for the third term are 1 and x.
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What is the simplest way to interpret the expression P(1+r)ⁿ?
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The simplest way to interpret the expression P(1+r)ⁿ is that it is equal to the product of P and another factor which does not depend on the value of P.
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Rewrite the expression a(6-b)² in the format a*______*______
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Since (6-b)³ can be split into (6-b)(6-b), a(6-b)² can be rewritten as a*(6-b)*(6-b)
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Write the expression x⁴-y⁴ using a different structure.
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x⁴-y⁴ can be rewritten as (x²)²-(y²)² which is the difference of perfect squares so it can be rewritten as (x²-y²)(x²+y²)
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Simplify this expression. x(y-8)(y-8)(y-8)
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x(y-8)(y-8)(y-8)= x(y-8)³
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Simplify this expression. 9³ * 5²
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9³ * 5² = 9*9*9*5*5 = 729*25= 18,225
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Simplify this expression. 4(y+7)+7
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4(y+7)+7= 4y+28+7= 4y+35
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Rewrite this expression in expanded form. 6(a-2)²(u+4)²
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6(a-2)²(a+4)²=
6(a-2)(a-2)(a+4)(a+4)= 6(-2+a)(-2+a)(4+a)(4+a)= 6(4+(-4a)+a²)(4+a)(4+a)= (16+(-12a)+a³)(4+a)= (64+(-32a)+(-12a²))+4a³+a⁴= (6*64)+(6*-32a)+(6*-12a²)+(6*4a³)+(6*a⁴)= 384+(-192a)+(-72a²)+24a³+6a⁴ OR 384-192a-72a²+24a³+6a⁴ |
