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3 years ago

What is the factored for of the polynomial x2 - 16x + 48

Mathematics

2 answers:

mel-nik [20]3 years ago

5 0

What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)

galina1969 [7]3 years ago

3 0

Answer:

$(x-12)(x-4)$

Step-by-step explanation:

$x^2 - 16x + 48$

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors

$x^2 -4x-12x+48$

Group first two terms and last two terms

$(x^2 -4x)+(-12x+48)$

FActor out GCF from each group

$x(x -4)-12(x-4)$

FActor out x-4 that is in common

$(x-12)(x-4)$

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tiny-mole [99]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the inequality.<br> 4│x + 5│ - 2 ≤ 10

castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

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6 0

3 years ago

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Simplify. express the answer using positive -5w^4y^-2\-15w^-6y^2

Ymorist [56]

Simplified. Employ photomath for more detailed explanation.

7 0

3 years ago

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Pls help this is major, ill mark u brainliest

Lera25 [3.4K]

Answer:

105

Step-by-step explanation:

$A=lw$ $A=$ (.5)πr²

to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle

$A=(16)(9)$

$A=144$

$A=\frac{(3.14)(5)^2}{2}$ $A=\frac{(3.14)(25)}{2}$ $A=\frac{78.5}{2}$

$A=39.25$

subtract the areas

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$104.75$ ≅ $105$

4 0

3 years ago

Please help 50 points!<br> Simplify the expressed

LenKa [72]

Answer:

Step-by-step explanation:

$\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}$ rewrite as multiplication

$\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}$ look to factor

$\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}$ , difference of 2 squares and perfect square

$\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}$ , finish factoring and simplify

2(x+3)

3 0

3 years ago