Express the following using factorials: 16x15x14x13 5x4x3x2x1

Q: For what value of m is x3-2mx2+16 divisible by x + 2?

A:

Q: What is the fourth term in the expansion of (3x - 2)102

A: GIVEN- 3x-210 TO FIND- FOURTH TERM IN THE EXPANSION OF 3x-210 METHOD / CONCEPT- IN EXPANSION OF a+bn…

Q: as a product of 11 in a other factor

A: Explanation and solutions is given below....

Q: Use the binomial theorem to find 9C3

A: To find: Use the binomial theorem to find 9C3

Q: 2. What are the greatest common divisors of these pairs of integers? (a) 37 x 5 x 7,21 x 3 x 5°

A:

Q: Expand the expression using the binomial theorem. (x + 3)5 (x + 3)° =D

A: consider the equation    x+35

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: largest number coefficient in the expansion of :(2-3x)^15

A:

Q: 2. Write the correct term - monomial, binomi (a) 2x + 3y (b) 5x (c) x

A: Given query is to find monomial, binomial and trinomial.

Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: For discrete mathematics, show how to find the greatest common divisor of any two numbers

A: For discrete mathematics, show how to find the greatest common divisor of any two numbers.

Q: The greatest common divisor of 0 and 5 is (5 1 (2

A:

Q: A monomial always has a degree of 1. O True False

A: Given, statement is false. Because A monomial is a expression in algebra that contains only one term…

Q: ress the following using factorials and simplify:

A:

Q: Find the value of p for which x²– 4x2+ px-8 is exactly divisible by x- 4.

A:

Q: find the two numbers whose diffrence is 7 and whoes product is -12

A: Given:find the two numbers whose difference is 7 and whose product is -12let x and y be the number.

Q: 12. Use the factor Hheveto determine whether x-C Isa fultol. offd.

A: (11). The given function is: f(x)=x4+8x3+12x2 ;       x+1

Q: the Kumb Encreasings C)=0.13x20.00014x R)= 0.418x²0.0002x

A: Profit function increases on (0, 3200)

Q: Find the term of (x² +x²)' that has x88 in it.

A:

Q: Write the following in terms of factorials. 1. number of arrangements in a row of 8 objects taken 6…

A:

Q: ) Check all the numbers that are divisors. a.) 288

A: see 2nd step

Q: 21. n n-1/

A: Please see the answer below.

Q: The greatest common divisor of 0 and 5 is

A:

Q: to find (1)

A: Given, f(x)=8x2+6x

Q: Use prime factorizations to fine the GCF of each set of expressions m18 n2, m15 p6 10r s2 t, 25r2…

A: Recall that GCF means greatest common factor. To find the GCF of some numbers, 1) We need to write…

Q: what two consective odd integers have a product of 63?

A: Find two odd integers.

Q: Prove by contradiction that there is no greatest multiple of 5.

A:

Q: Which of the following integers have the least number of factors in its cannonical form? 7079 7070…

A: We have given following four integers   7079 7070 7074 7072 we have to find which of these have…

Q: Which of the following polynomial expressions factors to x'(4x - 7)(4x + 7)? O 16x6 – 49x O 16x° +…

A:

Q: Use the binomial theorem to expand and simplify.(2t - s)5

A: Consider the binomial 2t-s5 The binomial expansion is given by…

Q: Evaluate the factorial expression.

A: Given:               n+2!n!   n+2!=n+2×n+1×n×n-1n-2........3×2×1 n!=n×n-1n-2........3×2×1

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: Which of the following binomial expressions can be factored into 4(2x + 7)(2x – 7)?

A:

Q: Use prime factorizatons to find the gcf of each set of expressions 16x5 y2 z4, 64x3 yz, 36x5 y7

A: we have to find

Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

A:

Q: Evaluate the factorial expression.  7! - 2!=

A:

Q: rn is not divisible by 3k +1 or n = 3k + 2.

A: Introduction: If a number a is divided by b, then there must exist an integer k such that, b=ak.

Q: What is the greatest common divisor of 1701 and 3769? show your complete solution.

A:

Q: 1745

A:

Q: Suppose a deep sea diver dives from the surface to 500 feet below the surface. He then dives down 25…

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Q: Use the Binomial Theorem to expand the expression. (2A + B2)3

A:

Q: Use the factor theorem to determine if the given binomial is a factor of f(x). 22) 22) fx)+ 8x3…

A: To decide if the given binomial divides the polynomial f(x), using the factor theorem

Q: 5x +...)(5x ..= 25x²–0.16yª 4 -

A: Given query is to fill the blank to make expression true.

Q: Find the binomion coefpicient (7)

A: follw the procedure given below.

Q: Add or subtract the following polynomials. (6x2 - 2x + 5) - (-3x2 – 4x + 6) O 9x + 2x -1 O 10x + 4x…

A: we are given the polynomial(6x2-2x+5)-(-3x2-4x+6)

Q: stat the degree of the monomial 25m5n2

A: Degree refers to the sum of powers of variables in the term

Q: Find the factorization of n=13081 ?

A: Here 13081 is a prime number.

Q: 9.51167x10-2/3.32x10-3

A: