The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
<h3>What is a factor?</h3>
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,
![6x^3-12x^2+7x - 14 \\\\](https://tex.z-dn.net/?f=6x%5E3-12x%5E2%2B7x%20-%2014%20%5C%5C%5C%5C)
Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as
![6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)](https://tex.z-dn.net/?f=6x%5E3-12x%5E2%2B7x%20-%2014%20%5C%5C%5C%5C%3D%206x%5E2%28x-2%29%2B7%28x-2%29%5C%5C%5C%5C%3D%286x%5E2%20%2B7%29%28x-2%29)
Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
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brainly.com/question/6810544
Answer:
I'm doing the same thing and, I don't understand it either.
Step-by-step explanation:
Answer:
4y
Step-by-step explanation:
y - -3y
Subtracting a negative is like adding
y+3y
Combine like terms
4y
The answers: 3•sqrt34 and 12
Depending on the theorem of Pythagoras
Answer N1: sqrt(9^2 + 15^2)
Answer N2: sqrt(15^2 - 9^2)
Answer:
2^(5/8)
Step-by-step explanation:
Here the base is 2, the exponent in the numerator is 7/8 and that in the denominator is 4. Division is indicated. The exponent rule in this case is to subtract the exponent of 2 in the denominator from the exponent of 2 in the numerator: 7/8 - 2/8 = 5/8. Thus, the quotient in rational exponent form is
2^(5/8)