6. The Special Product Formula for the “product of the sum and difference of terms" is (A + B) (A – B) = So (5 + x)(5 – x) =

Q: The Special Product Formula for the "product of the sum and difference of terms" is (A B)(A - B) So…

A: To fill the blank in the statement, " The special product formula for the 'product of the sum and…

Q: 1.2a-Dividing Polynomials Ha aial answer in standard form. 2x + 11x + 5 x+S

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A: 1)Let f(x)=x+1, g(x)= square root of xSketch the graph of the function as shown below

Q: True or false: The coefficient of x4y7 in (3x – 4y)11 is (2)347. True False

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Q: 2x + 6y = 4 5x + 15y = 10 Use the substitution method and show work.

A: Given: The system of equations 2x+6y=4 5x+15y=10 To find: Solution to the given system by method…

Q: 3. Given that f(x) = x³ + px? + qx – 3 is exactly divisible by (x – 1) and leaves a remainder of 3…

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Q: The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product…

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Q: sten Find the Multiplicity and value for x: a) = (3x + 9)° (2x – 11) (4x – 28)“ - X- values are 3, E…

A: To find the multiplicity and the value for X.

Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

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Q: 2. Find the following expressions by the given methods: A. (3x - 2)1 using Pascal's Triangle В. B.…

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Q: A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

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Q: Find The values of Kr4.Z) 오X+34-24 3x+4+27313 X+2°4-5Z=-14

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Q: Šimplify the complex fraction. 4 + 6-x'x-6 3 3 + x-6 6-x'x-6 xx-6 II 3. 4- 3. 3.

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given           P(x) = x5 + x4 − 8x3 + 7x + 7,            D(x) = x2 + x − 1

Q: (b)If x is so small that its fourth and higher powers may be neglected show that (1 + x) + V(1- x) =…

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Q: 5 Given A=-2 6 0 2 92719 2, and X= x₂ show that XTAX = 27, suggest that 5X + 6X3+7X3-4X₁X₂ + 4X₂X3…

A: Solution:

Q: A polynomial is given below. 3x° + 2x – x +7 | Which statement must be true about this polynomial?…

A: The degree of the polynomial is 6.  For a polynomial the maximum number of roots are equal to the…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide  P(x)by D(x),and…

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Q: Use a model for body surface area, BSA, such that  BSA =    wh 3600,  where  w = weight in kg…

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Q: If the sum of the coefficients of all even powers of x in the product (1 + x + x² + ... + x2n) (1 –…

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Q: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

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Q: In the space provided, enter the product of (2r + 4)(5z - 1) in standard form.

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: 1. 2abc + 3ac 2. x2 - 1 3. x? + 2x +1 4. 12ab + 20b 5. 4a? + 12a +9 6. 4a? – 9

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

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

Q: 3. If h(x) = f(x) – g(x) and f(x) = 2x² + 7 and g(x) = x² + 2x– 1, what is the most simplified form…

A: Introduction: If f:A→B and g:C→D then (f-g)(x)=f(x)-g(x)

Q: Find the product of the difference between A and B and the sum of C and D.

A: Given: A=1001, B=100-1, C=-1001, D=-100-1 To find: A-B×C+D

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Q: 1 (i) Find the product AB using 1 6. 2 7 B = · 1 A 8. 4 5 (ii) Does BA exist?

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Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

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Q: An expression of the fifth degree is written with a leading coefficient of seven and a constant of…

A: An expression of 5th degree starts with x5  Leading coefficient is 7 .  Constant term is 6 .

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Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

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Q: 10) If a, b and c are the roots of the polynomialz + 13r- 23 and sum of the roots is 0, then find…

A: The detailed answer is given below Thank you

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.