Any integer of the form 8k + 7 is also of the form а) Зт + 1 b) 5m + 2 4m + 3 d) 6m + 1

Q: as a product of 11 in a other factor

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

Q: 26) 3ab-5a2b+8ab

A:

Q: Find the least common multiple and greatest common divisor o following algebraic expressions: 1.-…

A: Given: The algebraic expressions are:           1. a2b2c; ab2c2; a2bc3           2. x2y2z;…

Q: Three rational expressions have the following characteristics: a) Rational Expression 1 i. NPV's=…

A: Given that  a) NPV's are 52 and -5 and numerator is a difference of squares polynomial. b) NPV's are…

Q: 9. Expand and simplify 3x(2x - 5)(2x + 1)². a) 2x² - 4 b) 6x² - c) 2x² - d) 2x² - 19x - 1 19x + 1…

A:

Q: 2. Write the missing factor in each: a)O4² + 4) = 3x² +12 b)Oy+ 3) =7y² + 21y c)O(2x² + 3) =16x² +…

A:

Q: 90. Find m so that x+ 5 is a factor of -3x* – 10x + 20x2 – 22x + m.

A: Given:

Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: 20) Determine a polynomial that represents the area of the figure. 20) 3x - 5 3x + 5 A) 9x2 - 25 B)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: factorise 125. (a' + 1) – 7(a² + 1) + 10 126. (a + 2a) – 2(a² + 2a) – 3

A:

Q: 5. Factor each expression. 8 e) (x- 3)' + (3x- 2y a) 27 b) - 432x 125 128x² -512 d) 512

A: Solution is given below:

Q: EXERCISE 8.1 1. Write down whether these expressions are monomials, binomials or trinomials a)…

A: Step 1: Step 2: Step 3: Step 4:

Q: a) 2x 2 + 7x - 15 b) 6w 2 - 7w - 10

A: Given equations are quadratic equation

Q: Choose all the factor pairs of 54 O -3 and -18 2 and 27 6 and -9 7 and 8 -2 and 27 -6 and -9 -1 and…

A:

Q: Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers?…

A: To express which of the following expressions can be written as (ax+b)(ax-b), where a and b are…

Q: 2. Factor each of the following expressions. d) 8x - 27 125 a) x - 64 b) х3 - 125 x3 + 8 g) 27x + 8…

A:

Q: factor 3x^3+17x^2-54x+16 into linear factors, Give all factors in exact form.

A: Topic- algebraic factors

Q: Simplify by removing factors of 1. 2 - 6z + 8 z* + 2z - 8

A: Simplify

Q: 21) Determine a polynomial that represents the area of the figure. 21) 2x + 6 3x + 3 A) 6x2 + 18 B)…

A:

Q: 4x²-39x+27

A: Given expression, 4x2-39x+27

Q: 21) The length of a rectangle is represented by x+3x+ 2, and the width is represented by 7x. a)…

A: From the given data

Q: 37) What are the factors of 3x? + 13x - 10? A) (3x - 2)(x + 5) B) (3x - 5)(x + 2) C) (3x + 2)(x - 5)…

A: Given,  3x2+13x-10  We have to find the factors of it.

Q: 1. Confirm that (20x³ — 7x² +5x + 10)(4x² + 12x − 3) = 80x5 + 212x4- 124x³ + 121x² +105x - 30. 2.…

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Q: Which integers are quadratic residues of 11?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.