Any integer of the form 12k +11 is also of the form a) 3m + 1 b) 5m +2 4m + 3 6m + 1

Q: as a product of 11 in a other factor

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

Q: What are 2 different expressions that both have a factor of (x+6)

A: We know that (x+6) is a factor of both expressions. So to find the first expression let us multiply…

Q: 2x2-x-21 Simplify: 5x+20 x2+7x+12 x2+8x+16

A: Given expression: 2x2-x-215x+20x2+7x+12x2+8x+16

Q: For 3 and 4 find a.) the GCF and b.) the LCM of each pair of expressions 3.) 108 and 198. 4.) 8x^5…

A: factor of 108=2x2x3x3x3 factor of 198=2x3x3x11 common factor are 2x3x3 therefore GCF is 18 LCM=…

Q: What is the coefficient of the first term of 3x² - 2x +9? O 14 O 1 О 24 Оз

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

A: Given:

Q: Let f, g: R - [-1, c0) be functions given by f(x) = x – 3 and g(x) = 2x? – 1 then which one of the…

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Q: to 2A+7 n-1

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Q: ((6 – 9) - 3) + ((-8) +(-1) + 6)

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Q: Show that x -4 15a facter of x* - x + 2x* + 20x - 24.

A: Let suppose g(x) is the factor of f(x) ,then g(x) will completely divide f(x), i.e. remainder (f(x)/…

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: When I divide x³ + x² - 7x+3 by x²-3, the remainder is a₁x + ao and the quotient is b₁x + bo. Fill…

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Q: The expansion of the term (2x -) 16+x- 6x? + 16x³ – 16x* 16 16 – 64x + 96x2 – 64x3 + 16x* 1 -x + 6x2…

A: In this question we have to find the expression which we can find out by using the binomial theorem

Q: Find the coefficient of x24 in (x + x2 + x3 + x4 + x5 )8

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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…

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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: On simplifying (a + b- 3) – (2b – a + 3) + (a - b + 3) the result is 3a - b- 3 a + b-3 3a - 2b - 3 a…

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Q: is equivalent to: 3x+6 +x-2 3x-6 *+r-2 3x+6 -x-2

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Q: True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

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Q: 2. Which expression is a factor of x² + 2x - 15 1) (х- 3) 2) (x + 3) 3) (x + 15) 4) (х - 5)

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Q: શે-2 – 7) 4x(3-2x) 1$'+107 d) (12x – 6x) + (3x) f) -8y* +24y 4y

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Q: Consider the expression: x² - 7x - 30 = 30 and A) Find two number, p and q such that p. q p+q= - 7.…

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Q: a) Find the sum of x+2x-5 x2+12x+35 and a+7* b) State the domain.

A: We have to find the sum and domain

Q: 1. Expand and simplify each expression. a) (8x – 3) (6x + 7) b) 3(2x + 1) – 2(x -5)?

A:

Statements and Logic

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