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Showing puzzles tagged "albgebra".
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24 December
All 2022 advent puzzles
~
More information
The expression
(
3
x
−
1
)
2
can be expanded to give
9
x
2
−
6
x
+
1
. The sum of the coefficients in this expansion is
9
−
6
+
1
=
4
.
What is the sum of the coefficients in the expansion of
(
3
x
−
1
)
7
?
Show answer
Hide answer
The sum of the coefficients can be worked out by substituting
x
=
1
into the polynomial, so the sum of the coefficients is
(
3
−
1
)
7
, or
128
.
Tags:
albgebra
,
polynomials
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ave
means
shape
triangle numbers
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proportion
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trigonometry
sets
dice
differentiation
prime numbers
parabolas
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folding tube maps
powers
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complex numbers
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money
cube numbers
tiling
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