5. The Special Factoring Formula for the "difference of squares" is A? – B? = So 4x? – 25 factors as

Q: 4 - Find the QR factorization of A -4 Ex: 1.23 : Q Ex: 1.23 R =

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Q: 5. One factor is provided and one is missing. What is the missing factor? a) x? + 10x + 24 = (x + 4)…

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Q: Find a counterexample to disprove the conjecture: "The square of a number is always greater than…

A:

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: (a) The given function is Cx=1.85x100-x millions of dollars. Substitute x=20 in Cx=1.85x100-x to…

Q: Completely factor 4m 2. im² + 36|| m² –9) 4| m² +9 (m+ 3) (m– 3) A 2. 2+9(m+3)(m- 3) C C (m+3)²(m+3)…

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Q: Which is a factor of P(x) x-3x2 + 5x + 6 ? О х-2 x + 2 х- 1 O x X + 1

A: Given, The polynomial  Px=x4-3x2+5x+6 We have to find the factor of the Px from the given option.

Q: 5. Which of the following is a factor o 3x-10x2 10? +3x+

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Q: Factor 16p – 81q? (4р + 9q) (4р —9q) (4p+ 9q)² 0 (16p – 9q) (p – 9q) 9q) (р - 9д) - 2 (4p – 99)

A:

Q: This question must be solved by "factoring". Be sure to show your work accordingly. 1 - 10 = 3x o…

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Q: The Special Factoring Formula for the “difference of squares”is A2  B2  . So 4x2  25 factors as.

A: We need to find the formula for the difference of squares and then solve the expression 4x2-25 as…

Q: b) How many miles are there between two cities, if the distance is represented by a 4.2 inch line on…

A: Part (b) - 1 inch = 38 miles4.2 inch = 4.2×381 miles4.2 inch = 159.6 milesHence, distance between…

Q: 4. A rancher who started with 750 head of cattle finds that his herd increases by a factor of 1.7…

A: Given query is to find the number of cows after 9 years.

Q: 6. The Special Factoring Formula for a “perfect square" is So x? + 10x + 25 A? + 2AB + B² = factors…

A: To find the special factoring formula for a ''perfect square'' A2 + 2AB + B2.  Also, to factorise…

Q: 7) You are teaching a first year algebra course and the author of your textbook has a statement that…

A: Formula:  an-bn=a-ban-1+an-2b+⋯+abn-2+bn-1

Q: Upon factoring L(x)=(x^4)−16 as far as possible, which one is true?   A. L(x) has three linear…

A: Question is solved.

Q: Factor the following perfect square trinor 49x2 + 14x + 1 O 7(x + 1)2 O (7x - 1) O (x + 7)? (7x +…

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Q: The Special Factoring Formula for a “perfect square” isA2  2AB  B2  . So x2  10x  25factors as…

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: The whole number p is greather than 0, a multiple of 6, and a factor of 180. Hoe many possibilities…

A: Since the number should be multiple of 6 and factor of 180 so the prime factorization of 180 is,

Q: he area of a square is defined by, A(x) = x2 - 8x + 16. What is the length of a side of the square?…

A: we have to find

Q: When dividing x^3+2x+4 by 3x+2 in Z7[x], the remainder is * O 4 O None of the choices 2.

A:

Q: 1. Factor the following fully d) 12x2 + 28.x – 24 e) 12x2 + 42x + 18 f) 12x? – 48

A: d) 12x2+28x-24=43x2+7x-6                        =4(3x2+9x-2x-6)…

Q: A Question 18 What is the factorization of 25x² + 49y4 ? O A O B (5x + 7iy² )(5x – 7iy') (5x + 7y?…

A: Let's find.

Q: factor a problem like the following: x2(x2 − 4) − 25(x2 − 4)

A:

Q: 4. How many positive integer solutions are there to the equation: X1 + x2 + .…+ x6 = 20

A: Formula: The number of positive integer solutions to the equation x1+x2+x3+···+xr =n are Cr-1n+r-1.…

Q: 1. Factor 21 +7x+6 Factor 2x + 7x+6 ? ? + ? ) (? + ? )

A: To find- Factors of given quadratic equation.

Q: 4. Which of the following is the correct factored form for 16y? – 40y + 25? A) (4y + 5)(4y – 5) B)…

A:

Q: 1. What is the remainder when a. − 3x^3+ 2x^2 − 5x + 8 is divided by x − 4 b. 4x^4 − x^3+ 12x^2 + 24…

A:

Q: 20. The sum of the roots of 3x² - 6x + 12 =0. a. 3 b. -3 с. 2 d. -2

A: Given that, the quadratic equation is                                            3x2-6x+12=0…

Q: 2) If a + bi is the remainder when P(x)=x²1 - 8x5 + x is divided by x +i, then a + b = A) -8 B) 6.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: what the factored form of the 1s ellowing expressons? O d? +5d -24 a.) (d+ 3)(d+8) b) &+3) (d-8)…

A: Split the middle term to factorize the polynomial.

Q: What are the factors of m2 - 12m + 20? Om-14 and m - 6 O m-10 and m - 2 Om-9 and m-3 Om-5 and m – 4

A: Given expression :m2-12m +20

Q: Simplify the ratio of factorials. (3n – 1)! (3n + 1)!

A: Simplify the ratio of factor.      3n-1!3n+1!

Q: 8X 4+ 39 10+ 38 40 11+ 37 3+

A: 1                                 1       2 1       4 2…

Q: rite P into factored form  P(x) = x^3+3x^2+4x+12

A: Definition used -          Factorization -             For writing cubic polynomial, We can try to…

Q: Apply Polya's Strategy to solve the following problem. 1. The product of the ages, in years, of…

A: Recall the Polya's Strategy: The four steps in Polya's Strategy are as follows. 1. Understand the…

Q: In calculating the approximate value of the square root of 16.5, which of the following…

A: To solve the following problem using approximation

Q: 2. A multiplication problem is shown. 243 x = 2,916 %3D What is the missing number?

A:

Q: 4. One of the factors of 3x²+ 8x – 35 is DA) 3x – 7 В) Зх + 7 C) x - 35 OD) 3x + 5 DE) x – 5

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Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is * O 5 O 4 O 2 O None of the choices

A: Just use long division and keep in mind that we are doing operations modulo 5.

Q: 3. Fully factor the following: d) 7h2 – 28h – 84 e) 60k2 + 60k – 1200 f) m10 + 15mº + 50m8

A: Given query is to factor the expression.

Q: 7. Justify your answers to each of the questions below without finding the value of either A or В.…

A:

Q: To answer nos. 1 and 2, The formular=2/5L can be used to approximate the speed r, in miles per hour,…

A: Note: We are entitled to solve only the first three questions, unless specified. Given: r=25L…

Q: (b) During a nationwide program to immunize the population against a new strain of the flu, public…

A: Given, the cost of inoculation x% of the susceptible population would be Cx=1.85x100-x million…

Q: Solve the Kenken puzzle below: 8X 4+ 39 10+ 4X 38 40 1 11+ 37 3+

A: We follow the procedure to solve the given KenKen puzzle and the complete puzzle is as follows

Q: Factor. 18y2 − 44y + 16

A:

Q: The Special Factoring Formula for the "difference of squares" is A? - B = So 4x - 25 factors as

A: The product of the sum and difference of the same two terms is the square of the first term minus…

Q: 5) Why can the area of a trapezoid can be found by multiplying ½ times its height times the sum of…

A: Here we have to prove that the area of trapezoid can be found by multiplying 1/2 times its height…

Q: 2. One factor is provided and one is missing. What is the missing factor? a) x? + 11x + 30 = (x + 6)…

A: