MATHEMATICS HIGH SCHOOL

Find the complete factored form of the
polynomial:
-36a5-24b6

Answers

Answer 1
Answer:

The factored form of the given polynomial (-36a⁵-24b⁶)is -3 × 12a⁵ + (-2 × 12b⁶).

What are polynomials?

  • A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
  • x² - 4x + 7 is an illustration of a polynomial with a single indeterminate x.
  • They are the cubic polynomial, the zero polynomial, the linear polynomial, and the quadratic polynomial.
  • The degree of polynomials should be a full number.
  • Polynomials are not expressions with negative exponents.

So, factor form of -36a⁵-24b⁶:

Now, factorize as follows:

  • -36a⁵-24b⁶
  • 3 × 12a⁵ + 2 × 12b⁶
  • -3 × 12a⁵ + (-2 × 12b⁶) (Get common out)

Therefore, the factored form of the given polynomial is -3 × 12a⁵ + (-2 × 12b⁶).

Know more about polynomials here:

brainly.com/question/2833285

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Related Questions

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How to work out 280 times 380
What is the value of 12.5 10^7?a. 12.5000000 b. 1,250,000 c. 125,000,000 d. 1.2500000
Which of the following statistical measures is least appropriate for describing the data set shown below? 1, 5, 5, 5, 6, 6.5, 7, 30 mean mode median
write an even number that has a 7 in the hundreds place , has an odd number in the thousands place and is multiple of 10

In general, the median of a data set is less resistant to outliers than the mean. A. True B. False

Answers

A. true, the median of a data set is less resistant to outliers than the mean

Answer:

FALSE  is the correct answer

Step-by-step explanation:

Rationalise:
(1)              4/(2+root3+root7)
(2)              4/(2root3+root5)

Answers

(4)/(2+\sqrt3+\sqrt7)\cdot(2-(\sqrt3+\sqrt7))/(2-(\sqrt3+\sqrt7))=(8-4\sqrt3-4\sqrt7)/(2^2-(\sqrt3+\sqrt7)^2)=(8-4\sqrt3-4\sqrt7)/(4-3-2√(3\cdot7)-7)\n\n=(8-4\sqrt3-4\sqrt7)/(-6-2√(21))=(-2(2\sqrt3+2\sqrt7-4))/(-2(3+√(21)))=(2\sqrt3+2\sqrt7-4)/(3+√(21))\cdot(3-√(21))/(3-√(21))\n\n=(6\sqrt3-2√(63)+6\sqrt7-2√(147)-12+4√(21))/(3^2-(√(21))^2)=(6\sqrt3-2√(9\cdot7)+6\sqrt7-2√(49\cdot3)-12+4√(21))/(9-21)

=(6\sqrt3-6\sqrt7+6\sqrt7-14\sqrt3-12+4√(21))/(-12)=(-8\sqrt3+4√(21)-12)/(-12)=(-4(2\sqrt3-√(21)+3))/(-12)\n\n=(2\sqrt3-√(21)+3)/(3)

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(4)/(2\sqrt3+\sqrt5)\cdot(2\sqrt3-\sqrt5)/(2\sqrt3-\sqrt5)=(8\sqrt3-4\sqrt5)/((2\sqrt3)^2-(\sqrt5)^2)=(8\sqrt3-4\sqrt5)/(4\cdot3-5)=(8\sqrt3-4\sqrt5)/(12-5)\n\n=(8\sqrt3-4\sqrt5)/(7)
(1) (4)/(2+√(3) +√(7)) \n \n or, (4)/(2+√(3) +√(7)) * (2 - √(3) -√(7))/(2-√(3)-√(7)) \n \n => \frac{ \sqrt[2]{3} - √(21)+3}{3} \n \n \n (2) \frac{4}{\sqrt[2]{3} + √(5)} \n \n or, \frac{4}{\sqrt[2]{3} + √(5)} * \frac{\sqrt[2]{3}-√(5)}{\sqrt[2]{3}-√(5)} \n \n => \frac{\sqrt[8]{3}-\sqrt[4]{5}}{7}

Read the following excerpt. Using the context of the paragraph, select the word that best completes the sentence.The journalist spent a year researching the foreign government's sanctions. Finally, it was time to synthesize all of the _______________ information that he had learned. His editor asked him to write a comprehensive article for the first piece in the series that was sure to win awards, inform the public, and elicit significant change in foreign policy. (3 points)


irate

relevant

keen

strategic

Answers

Answer:

Relevant

Step-by-step explanation:

Given is a text to be read.   We have to select the appropriate word to fill in the blanks.

The journalist spent a year researching the foreign government's sanctions. Finally, it was time to synthesize all of the _______________ information that he had learned

Here out of four options given namely

irate, relevant, keen and strategic we find that relevant is more appropriate

So answer is relevant

Irate meaning enraged cannot suit here.

Keen is for observation and here for reading information relevant is better

Strategic is innovative ways but here not applies.

So only answer is relevant.
nally, it was time to synthesize all of the Relevant information that he had learned

51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?

Answers

Answer:

51 were the total number of the tickets sold at a school carnival wereearly-admission tickets.

Step-by-step explanation:

Total number of tickets sold by  = 100

Let x be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

so

x=(51)/(100)* 100

  = 51

Therefore, 51 were the total number of the tickets sold at a school carnival wereearly-admission tickets.

What is the y-intercept of the line represented by the equation below?
y = –2x – 1

Answers

general form is y = mx + c  where c = y-intercept

so here the y-intercept is -1

In a triangle, the sides measure 3,5, and 7 what is the measure, in degrees of the largest angle?

Answers

The\ largest\ angle\ is\ opposite\ the\ largest\ side.\nlook\ at\ the\ picture.\n\nLaw\ of\ cosines:\n\nc^2=a^2+b^2-2abcos\alpha\n\na=3;\ b=5;\ c=7\n\nsubstitute:

7^2=3^2+5^2-2\cdot3\cdot5\cdot cos\alpha\n49=9+25-30cos\alpha\n49=34-30cos\alpha\n30cos\alpha=34-49\n30cos\alpha=-15\ \ \ \ /:30\ncos\alpha=-(15)/(30)\n\ncos\alpha=-(1)/(2)\n\n\alpha=120^o
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