9. Express x + 4x2 - 45x in factored form. x(x - 9)(x - 5) x(x - 9)(x + 5) x(x + 9)(x - 5) x(x + 9)(x + 5)

Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

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Q: Factor 2x^2+ 6x + 54 + 18x by grouping * 2(x - 9)(x – 3) O (x+ 18)(2x + 3) O (x- 18)(2x – 3) O 2(x +…

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Q: Show that x² − 4 is a factor of x⁴ − 5x³ + 2x² + 20x − 24

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Q: 8) Express 2x2 - 3x - 5 as the product of two binomial factors.

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Q: What are the factors of x2 + 7x - 30? (x + 6)(x - 5) (x + 10)(x - 3) (x - 10)(x + 3) (x - 6)(x+…

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Q: Is x+2 a factor of x^5+8x^4−6x^3−3x^2−7x−146

A: To prove that x+2 is factor of given equation.

Q: Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

Q: Based on the factor theorem what are the factors of: x3 -7x + 6

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Q: Show that x² − 4 is a factor of x4 − 5x³+ 2x² + 20x − 24

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Q: Show that (1+2x) * = 1+8x+24x² +32x³ +16x+

A: Let's find.

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

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Q: If 3x + ax +3x+2 leaves a remainder of 4 on division by (3x-1), find a. Example: x=3;x-5

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Q: 3x +6x? -6x - 36 2x' +5x -x-6 x' +3x' -10x? 3x +2x -35x² -18x+72 Fxnressions that have a factor of…

A: 1) 3x3-6x2-6x-363x2x-2-6x-63x2-6x-23x2-2x-22x-2x+2x-2 This expression has the (x-2) factor. 2)…

Q: 15 What are the factors of this polynomial?

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Q: 4.  Show that X2? −4 is a factor of x4− 5x3 +2x?2+20x−24.

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Q: Show that (x-y) is a factor of (x2-7x2+14x-8) ,ccplete factors od expression

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Q: 1. Factor completely. a. 64t² – 49r2 b. т? — 6т —16 с. x² + x – 20 - - -

A: Factorization:- Factorization or factoring consists of writing a number or another mathematical…

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: What is the result when 6x- 15x +4x? + 8x – 4 is divided by 3x2 – 3x – 1? If there is a remainder,…

A: Consider the equation

Q: One of the factors of 4x - 9 is 1) (x+3) 2) (2x +3) 3) (4x – 3) (x – 3) 4)

A: Given: Let the given expression is 4x2-9   Formula used: a2-b2=(a-b)(a+b)

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: What is the expanded form of 3-3 3x-3 x-3 O 3x-3x-3 27 3 x3 x3

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Q: By what polynomial of lowest degree must (x2 – 64)(x² + 5x – 24) be multiplied to make it a perfect…

A: Givem polynomial is (x2-64)(x2+5x-24)To find lowest degree multiplier to make it perfect square.

Q: 1) factor 4x2 - 9y2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What is the remainder of the division (x100 - x99 - x + 1) / (x2 - 3x + 2)

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Q: Show that x2 − 4  is a factor of  x4− 5x3+ 2x2 + 20x − 24.

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Q: 9. Use the Factor Theorem to explain if x + 3 is a factor of x³ + 2x² – 3x + 5.

A: To use the factor theorem to explain if x+3 is a factor of x^3+2x^2-3x+5

Q: 1. Write the complete factored form of f(x). y 8. y = f(x) 4 -2 2 3 -8

A: Note  Factor form of a function is given by  f(x) =(x-a)(x-b)(x-c)....... and so on Where  a,b,c are…

Q: Show that  2x-3 is a factor of x+2x3-9x2+12

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Q: Show that x2− 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

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Q: Determine the completely factored form of fx) = x+ 3x -x- 3. c. Ax) = (x+ 3)*(x+ 2)(x+ 1) d. Ax) =…

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Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

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Q: 1. x + 11x + 10 2. x - 12x + 27 3. x - 4x + 5 4. x + x - 20 6. x - 7x - 44 +6x : Not Factorable : (x…

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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: 9. What is the possible equation of the following polynomial in factored form?

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Q: (a) Factorise z6 + 1 over the real numbers.

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Q: 23 2. If the result of a polynomial division is 2x³ –- 4x² – 5x + x + 2 make at least three…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Factor 6x + 13x +5 (3x + 5) (2x + 1) O (3x + 1) (3x + 5) (3x + 2) (2x + 5) (3x + 1) (2x + 1)

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Q: 7, 3x-10x3-17x + 48x + 36-D Zeros: Factors 8.2x-x-12x + 7x+ 16x-12 0 Zeros: Factors:

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Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

Q: What is the sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6

A: sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6 = 1 - 2x + 3x^2 + 8x^2 + 30x - 6

Q: Find the factors of this expression by Factor Theorem.  3x3 + 7x2 + 2x - 4

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Q: 6. Factor fully f (x) = 12x* +17x - 70x² – 33x+18

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Q: Why 9(5-x)+y(5-x) is not a factored form of 45-9x+5y-xy ?

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Q: If when dividing 5x3+6x4-1 by x+3x2-2, a remainder of the mx+n form is obtained, calculate the value…

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Q: Show that x2 − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24

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Q: 3. If the area of a rectangle is expressed as x* - 9y? then the product of the length and the width…

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Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the…

Q: show that x2-4 is a factor of x4-5x3+2x2+20x-24

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