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Nina [5.8K]
3 years ago
11

What is the product of the polynomials below?

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

16x⁴+16x³-12x²-32x-16

Step-by-step explanation:

(8x²-4x-8)(2x²+3x+2)

= 16x⁴+24x³+16x²-8x³-12x²-8x-16x²-24x-16

= 16x⁴+16x³-12x²-32x-16

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
The sum of partial products is equal to the final product?
Shkiper50 [21]
The sum of partial product is not always equal to a final product

8 0
3 years ago
Why is the decimal in 125.6 there how did it get there?
irakobra [83]

Answer:

I’m not sure. If your joking or.

4 0
3 years ago
lan has $28 in his checking account. If he writes a check for $12, how much money is left in his account?
Reika [66]

Answer:

$16 once the check is cashed in

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Please help<br><br>Point____is plotted at -4/5​
musickatia [10]

Answer:

C

Step-by-step explanation:

-4/5 is -0.8, which is at point C

plz brainliestt

8 0
3 years ago
Read 2 more answers
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