11) 35m -375m+ 250m2

Q: Find the domain of √(64 − 4x2).

A: Domain of a function is the set of input values for which the function is real and defined.

Q: Find the perimeter of a square with sides of 6x +5.

A: The perimeter of a square with side s is given by P=4s. Here the side is 6x+5 Hence the perimeter is…

Q: factor 49z2-64x2

A:

Q: factor completely. 5x + 7x2 + 9x4

A: The given expression is, 5x+7x2+9x4 The objective is to factor the above expression completely.

Q: factor 21x3-7x2+15x-5

A: By hit and trial method: at x = 13 Therefore, x = 13 is root. and x-13 is a factor.

Q: Completely Factor: 1. 180x³t + 150s²t³ 240s²t²

A: 180x3t+150s2t3· 240s2t2=30t6x3+5s2t2· 240s2t2=180tx3+200s4t4

Q: If the volume of a box is represented by the expression (x3 - 9x2 + 23x -15)cm3 and its width by (…

A: The volume of a box is represented by the expression (x3 - 9x2 + 23x -15) cm3 and its width by (…

Q: Explain how to factor 3x + 10x + 8.

A: 3x2+10x+8

Q: 8x +6x2 -9 3 2х-2

A:

Q: 10. Using three different method, explain the process of factoring the quadratic 22 + 7x + 12

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Out of a group of swans ,7/2 times the square root of the number are playing on the shore of a…

A:

Q: factor completely 5x^3 - 20x^2 - 60x

A: Solution

Q: factor 8x3 -27y6

A: Given,          8x3-27y6

Q: 7: What is the product of (3x + 6)(3x – 6) -

A: Use the formula for (a+b)(a-b) =a^2 - b^2 Here a =3x and b = 6

Q: the greatest common factor of 12x^y^3 and 24xy^2 is

A:

Q: What is the remainder when 4x2 - 6x +1 is divided by (2x- 1)

A:

Q: factor completely. 15x2 + 6x

A:

Q: Expand In 12x3 хра

A: We need to use the properties of logarithmic function to expand ln 12x5y We can do this as:

Q: Find the least common multiple of the denominators of 1/ (x2 - 1)  and 3/ (x2 + 4x + 3)

A: Given: 1x2-1 and 3x2+4x+3

Q: Factor each completely 19) 9x^4 - 75x^3 + 126x^2

A: We will factor these.

Q: Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor…

A: Lets consider a polynomial P containing four terms: P=T1+T2+T3+T4 We groups 3 terms and leave the…

Q: Зах (х+6) x+4

A:

Q: How to determine the quadratic and repeated factors within the denominator?

A: Given: Used Formula: Find: The quadratic and repeated factors in the denominator.

Q: What is the bigger perfect square of the square of 27

A: Given, We have to find the  bigger perfect square of the square of 27.

Q: factor completely. 15xy - 6yz

A: 15xy - 6yz

Q: factor 12z2-37z+21

A:

Q: 9. Factor 2x"-7x-41x-53x-21 fully.

A: Let's find.

Q: Factor: 12x5 – 17x4 + 6x³.

A:

Q: 100-9x²

A: The objective is to put the given equation in factored form.

Q: 8. Factor completely: 5x - 20x² - 60x

A: Answer is 5x(x-6)(x+2)

Q: factor 12x^3 +71x^2 +102x +40

A: To factor the given expression, find out possible root and use synthetic division to factor it.…

Q: 6. WRITE 3xE4xt14x²+2x² 17x+6=D0 IN FACTORED FORM :

A: Explanation of the answer is as follows

Q: What is the Greatest Common Factor between: 20x', 4x? and 16x

A:

Q: factor completely 5x^3 - 20x - 60x

A:

Q: Factor completely. 14x10 10x° - 4x5 |

A:

Q: The prime factorization of two numbers are given as 23 x 32 x 5 and 22 x 32 x 52 × 7 What is Least…

A:

Q: One of the factors of 1- 16x² is

A:

Q: Find the least common denominator of[(3/x2 - 6x + 9) and (7/x2 - 9)]

A: Given, expressions, 3x2-6x+9  and   7x2-9

Q: 1) Add 3x3 – 4x +7 and -8x3 -9x + 2

A:

Q: Compute the quotient of (−5x3+24x2−2x+39)÷(x−5)

A:

Q: Factor. 49z2 - 64x2

A: To factor 49z2 -64x2

Q: Factor 9x2 - 6x + 1 - 16x2+ 8xy - y2

A: The given expression is - 9x2 - 6x + 1 - 16x2+ 8xy - y2 Rearranging the above expression  we get,…

Q: explain the 4  types  of single  factor   designs

A: Single factor design :  Often, we wish to investigate the effect of a factor (independent variable)…

Q: When we factor the sum or difference of cubes __, is the factor __ ever factorable over the…

A:

Q: Out of a group of swans ,7/2 times the square root of the number are playing on the shore of a tank.…

A:

Q: Use : (2x3 - 3x2 - 11x + 6)/(x - 3) = 2x2 + 3x - 2, to factor 2x3 - 3x2 - 11x + 6 completely.

A: Given that (2x3 - 3x2 - 11x + 6)/(x - 3) = 2x2 + 3x - 2. We need to factor 2x3 - 3x2 - 11x + 6…

Q: Factorize 2x + 2x +4

A:

Q: derive (3x^2+2x)^6

A: Chain rule of differentiation: Consider a function f(x), which is a composite function given by…