Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand and simplify the expression). (x + 2)4  (1 - 4x)3 (x2 + 2)4

Q: The coefficient of x12y 12 in the expansion of the expression (2x³ – 4y2) 10 is given by

A: Here, we have to find the coefficients of x12y12 in the expansion of 2x3-4y210 Consider the binomial…

Q: (-4k* + 14 + 3k?) +(-3k* – 14k² – 8)

A:

Q: find each indicated product. Remember the shortcut for multiplying binomials and the other special…

A: we have given (x - 3)(x + 3)(x - 1)  put (x - 3)(x + 3)(x - 1) =0  we get x=3, -3,1(roots of the…

Q: Google SES GROUPS RESOURCES GRADES • Unit 7 - Exponents and Radicals AND Unit 9 - Polynomial…

A: Given that we need to find the expression which is equivalent to 4x2 - 9 . As we know that  a2 - b2…

Q: Activity 1: You Can Find Out Find the product of the cube of a binomial. 1. (b + 4)3 2. (2m – 6)

A: 1. To find: b+43  ……1

Q: Fill in the blank with the correct coefficient exponents. (h+9)(5h-4h² -10)

A: Given,         h+95h-4h2-10

Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: What is the coefficient of aº in the expansion of (x + 2)15 + x*(x +3)20?

A:

Q: EXAMPLE 3 Applying Special Case Products a. Multiply. (2 - 9)(2 + 9) h. Square the binomial. 3x - 7

A: a. The given expression is, 2t2-92t2+9 Using the algebraic identity, a-ba+b=a2-b2 Here,  a=2t2b=9…

Q: Multiply the polynomials. (4x +1)(x³ + 3x² – 6) = %3D

A:

Q: Multiply using either the formula for the square of a binomial or for the product of the sum and…

A: The given equation is: 5m2 + 3n5m2-3n

Q: Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial. 2x - 4 Name?…

A:

Q: 4.[4Y²-Y) (Y-2) 5.CxX+1)(x-2)

A:

Q: EXAMPLE 2 Multiplying Polynomials Multiply and simplify. (dz + 2(* - 6a +) fr +

A: Given: Let p=4x+2x2-6x+12 To Find: To multiply and simplify the given expression

Q: 4. (07.01, 07.02 HC) Part A: Create a third-degree polynomial in standard form. How do you know it…

A: (i) The standard form of the polynomial  p(x)=∑i=0naixi=anxn+an−1xn−1+an−2xn−1+.......+a1x+a0 Here,…

Q: Write the polynomial in standard form. Then name the polynomial based on its degree and number of…

A: Based on highest degree a polynomial can be classified as: Constant Polynomial : A polynomial of…

Q: f Use the FOIL method to multiply the binomials. (3x+4)(4x+5) (3x+4)(4x+5)-(Simplify your answer)

A:

Q: Instruction: please show complete and detail solutions. Expand the power of the binomial: (i)…

A: Binomial Expression: A polynomial consisting of two terms, or monomials, separated by an addition or…

Q: Write the expansion of the expression.     #1) (x + 2)^4   # 2 ) (y -2) ^4    #3 )  (2X - Y)^5…

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Q: Which binomial is a factor of 3x3+3z2 + I +1? O 3r +1 .2 O 3x2-1 O r-3 O r+3

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Q: What is the correct factorization of 2t2 -t-3? O (2t + 3)(t – 1) O (2t – 3)(t + 1) O (2t – 1)(t+3).…

A: From the given polynomial; 2t2-t-3

Q: (x-7)(x-7) and muiiply polynemtals Slnplify the following: 2. 1. (x+8)(x-5) 4. (x-3)(x+5) (3x…

A: We are authorized to solve only one question with 3 subparts, please repost remaining questions…

Q: Q4 Derive a recursion for q-binomial coefficients and use it these are polynomials with non-negative…

A: Let us suppose 0<k<n then, nkq-n-1k-1q=qn-1qk-1-1n-1k-1q=qkqn-k-1qk-1-1n-1k-1q  =qknk-1q

Q: What is the coefficient of the term a b²c5d²e² for the product (a+b+c+d+e)25? Just provide the final…

A: By multinomial theory, the coefficient of ac1 bc2 cc3 dc4 ec5 in (a + b + c + d + e)k  is…

Q: Multiply. (w-3)(w+1) Simplify your answer.

A:

Q: True or False You can determine if a binomial is a factor of a polynomial by using synthetic…

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Q: Polynomial - Addition & Subtraction Simplify each expression. 1) (6v4 + 3v) + (7v4+2+5v) 3) (4x² -…

A: if there's any problem, plz make a clarification request. Step 2: Step 3: Step 4:

Q: 3/5-4

A: These can be added by taking LCM of denominators of both fractions.

Q: This equation is about adding, subtracting, and multiplying polynomials. In which use Pascal’s…

A: Draw the Pascal traingle and then reach to the answer.

Q: Simplify. (5n + 4n² – 7) – (8n – 6+ 7n)

A: subtract the polynomials

Q: Multiply the binomial. (7x² - 9y²) (x² - 9y²) (7x² - 9y²) (x² - 9y²) =0 (Simplify your answer.)

A: Given binomial is : 7x2-9y2x2-9y2 To find the multiplication of given binomial.

Q: Step by Step explaination of Find all of the values of K such that 3x^2 + kx -5

A: You can use the discriminant formula to find the values of k in the quadratic equation.…