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3 years ago

What is 3X to the second power plus 4X -3+ negative 4X to the second power minus 2X -4 in polynomial form

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

The polynomial form of the expression is: 25·X² + 2·X + 2.

Step-by-step explanation:

The expression that can be formed using the provided data is:

$(3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)$

Simplify the expression to get a result in polynomial form as follows:

$(3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)$

$=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2$

Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.

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Answer:

Prime Factorization of 576

$576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

Prime Factorization of 64

$64=2\times 2\times 2\times 2\times 2\times 2$

The Expression in simplest form is

$\sqrt{\dfrac{576}{64} }=\dfrac{3}{1}$

Step-by-step explanation:

Simplify:

$\sqrt{\dfrac{576}{64} }$

Now,

Prime Factorization of 576

$576=2\times 288\\576=2\times 2\times 144\\576=2\times 2\times 2\times 72\\576=2\times 2\times 2\times 2\times 36\\576=2\times 2\times 2\times 2\times 2\times 18\\576=2\times 2\times 2\times 2\times 2\times 2\times 9\\576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

Prime Factorization of 64

$64=2\times 32\\64=2\times 2\times 16\\64=2\times 2\times 2\times 8\\64=2\times 2\times 2\times 2\times 4\\64=2\times 2\times 2\times 2\times 2\times 2$

Now,

$\sqrt{\dfrac{576}{64} }=\sqrt{\dfrac{2\times 2\times 2\times 2\times 2\times 2\times 3\times 3}{2\times 2\times 2\times 2\times 2\times 2} }\\ \sqrt{\dfrac{576}{64} }=\sqrt{\dfrac{3\times 3}{1}}\\\therefore \sqrt{\dfrac{576}{64} }=3$

The Expression in simplest form is

$\sqrt{\dfrac{576}{64} }=\dfrac{3}{1}$

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3 years ago