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IgorLugansk [536]
3 years ago
7

Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

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The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b
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<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
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where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1   ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6   ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2   ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7  ⇒⇒⇒ k = v/m = <span>0.117371

∴ v = 0.117371 m
</span>
For  v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram

</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)











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