A sword is 100 centimeters long. That's 10 centimeters longer than 3 times h, the length of the hilt, or handle. Write and solve
2 answers:
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The factored form of the considered polynomial is
If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
For the considered polynomial, we've got the quadratic expression as:
Comparing this with , we get:
- a = 1 (since
)
- b = 11
- c= 24
Therefore, we have : ac = c = 24
Two numbers whose multiplication gives 24 and and whose addition gives 11.
24 =
If we take first three 2s, and 3, then:
Thus, we need to write 11 in the middle in terms of 8 and 3:
Thus, the factored form of the considered polynomial is
Learn more about factors of a quadratic equations here: