A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
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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,
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
Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
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<h2>Volume of Sphere</h2>
1. What is the radius of the stone sphere?
- To know what is the radius divide is by 2.
Therefore, the radius of the stone sphere is 3in
2. What is the volume of the stone sphere?
- Using the formula in finding the Volume of Sphere to get the answer. Where the volume of the sphere is
multiplied by the cube of the radius.
Therefore, the volume of the stone sphere is 113.04in³
3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.
- Using the formula in finding the Volume of Sphere to get the answer. Where the volume of the sphere is
multiplied by the cube of the radius.
Therefore, the volume of the stone sphere is 523.33in³
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