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inna [77]
3 years ago
13

Which binomial is a factor of the following quadratic? K2-12k+36

Mathematics
2 answers:
serg [7]3 years ago
6 0
K-6 is the answer because the factor
Nitella [24]3 years ago
5 0

9514 1404 393

Answer:

  (k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

  k^2 -12k +36 = (k -6)^2

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Zubin has two pieces of string. One piece is 36 inches long and the other is 48 inches long. He wants to cut them into equal pie
skelet666 [1.2K]

Answer:

12 pieces each:

S_1 = 3\ in

S_2= 4\ in

Step-by-step explanation:

Given

S_1 = 36\ in -- first string

S_2 = 48\ in --- second string

Required

Determine the number of equal pieces

To do this, we first calculate the HCF of the length of both pieces (36\ and\ 48)

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * 2 * 2 * 3

Common\ prime\ factors = 2, 2\ and\ 3

The HCF is:

HCF = 2 * 2 * 3

HCF = 12

<em>Hence, he can cut both strings to 12 pieces each</em>

<em></em>

<em>Recall that </em>

S_1 = 36\ in

<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>

S_2 = 48\ in

<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>

7 0
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