Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer:
3⁵
Step-by-step explanation:
3×3×3×3×3=3⁵
You have a mutiplication. The base is 3, the exponent is the count of how many 3 you have. In this multiplication 3 appears 5 times, so 3⁵.
The digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place
<h3>What is place value?</h3>
Place value is simply the value of each digit in a number.
For instance:
- The 3 in 350 represents 3 hundreds, or 300
- The 5 in 5,006 represents 5 thousands, or 5,000.
It is important to note that place value is the value represented by a digit in a number on the basis of its position in the number or figure.
We can deduce the following:
- The digit in the hundreds place has a value 10 times as great as the value in the tens place
- The place value of a digit at the hundredths place is 1/10 times the same digit at the tenths place
Thus, the digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place
Learn more about place value here:
brainly.com/question/12386995
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Answer:
Help with what?
Step-by-step explanation:
I would be happy to answer but you need to attach a question.
