vocab | remainders | steps |
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what is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1?
synthetic division
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What is the remainder when you divide x^3-4x^2+x-5 by (x+2)
-31
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What is step 1 of synthetic division?
reverse the sign of the constant divisor
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What is the name of the term you're dividing by when using synthetic division?
the divisor
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What is the remainder when x^3 +5x^2-x+1 is divided by (x+2)
15
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What is step 3 of synthetic division?
multiply the first coefficient by the new divisor and add to the next coefficient
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What is the name of the answer you get when dividing?
what is the quotient?
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What is the remainder when 2x^3-4x+3 is divided by (x-1)
1
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What is step 2 of synthetic division?
bring down the first coefficient
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what is the number in front of a variable in an algebraic term called?
a coefficient
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What is the remainder when x^y4+2x^3+x-3 is divided by (x-1)
1
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true or false. the sign of the divisor stays the same
false
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