What is the largest possible value of (x + 1)(3 − x), if x can be any real number? (a) 2 (b) 3 (c) 4 (d) there is no largest value (e) none of these

Q: Which is an example of two differnt fuctions that have the same domain and the same range, but have…

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

Q: 5. Factor f(x) = 9x² – 33x² + 19x – 3, given that 3 is a zero.

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Q: 1. When the polynomial 6x -ar' + bx² +3x+4 is divided by x+1 the remainder is 10. When it's divided…

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Q: Q.4.1 Find the domain of the expression x-1 / x2  +  5x + 6

A: To find- Find the domain of the expression x - 1x2 + 5x + 6

Q: i have a question about the step by step of 0= -x2+4x-5 using the quadratic formula

A: Consider the quadratic equation, -x2+4x-5=0 To solve the given equation,…

Q: One of the roos of the cquation x+3x-6=0 1s

A: The given equation equation is x2+3x-6=0

Q: 1. Compare and contrast the usefulness of the remainder theorem and long division. b. Do you…

A: Remainder theorem: If any polynomial is divided by a linear polynomial (x-a), then the remainder is…

Q: 3. a) For the polynomial function P(x) = 2x- 7x? + 4x + 4, could there be exactly 1 real-valued…

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Q: 3K4 Given: 22 24 Prove: 1 3

A: Straight angle is 180

Q: Solve the infonalnky 2x 5X L8x-20

A: Hi there! Thank you for the question, but as per our guidelines, we can solve only one question at a…

Q: how would you rewrite 2x^2+x-6 to show the roots (zeros) of the function f(x)=2x^2+x-6

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Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

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Q: Ques.2. Use the Birge-Vieta method to find a real root correct to three decimals of the following…

A: We calculate root of polynomial using Birge-Vieta method   In this problem the coefficients are…

Q: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by…

A: N(x) = -0.5x2+11x+14    , x is in days

Q: The polynomial of degree 33, P(x), has a root of multiplicity 22 at x=4 and a root of multiplicity…

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Q: How do you find the zeroes of f(x)= [(2x^3)-(9x^2)+(12x)-(3)]? When I try the possible real zeroes…

A: f(x)=2x3-9x2+12x-3

Q: 11 h(x)= 9x tep 1 The domain excludes x-values that yield zero in the denominator. x2-9x # Factor.…

A: In the question it is asked to calculate domain of function h(x)=11x2-9x.  Afterwards it is asked to…

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: If lim 12 00 k-1 (-1)*k 3x +4x +5 lim T-00 ar + 6x +7 34 then what is the value of the real number a…

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Q: Find the zero of P(x)=7x-12

A: We have to find the zero of P(x)=7x-12.

Q: Determine k such that Kx2 - 4x +1/2 = 0 has real and different solution.

A: To determine k such that kx2-4x+12=0 has real and different solution.

Q: Given f(x) = √ x-4,   (the square root of x-4) Use the conjugate to simplify completely f(x+h) -…

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Q: e this problem Given f(x)=3x^3-8x+kf(x)=3x3−8x+k, and the remainder when f(x)f(x) is divided by…

A: Given               fx =3x3-8x+k, x+1 is a factor               remainder=-9

Q: 3. Find k such that x 1 is a factor of x-2x- 3kx?+ 1 = 0. -

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Q: (c) VEVa = (2/2)/² Definition of rational exponents Law 1 = x3/4 Law 3

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Q: 4 2- Consider the graph of the polynomial function shown. Whi of the following could be the -2 2 4…

A: Given query is to find the formula ifbthe function.

Q: a).   List ALL the zeros of h(x).:-2,3 (b).  List all zeros of p(x) of EVEN multiplicity. How can…

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Q: The volume of a rectangular box is x^3+16x^2+83x+140cm^3. The box is (x+5) cm long and (x+7) cm…

A: Solution: Volume of rectangular box = L*W*H  where L=Length of rectangular box W= Width of…

Q: 8. Find the value of k so that (x + 3) is a factor of f(x) = kx3 + 2kx2 + 7x - 6.

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Q: Polynomials  (-3x2+6x3- 4 -x) / (2x+1) Never had this problem before???

A: Solving the problem by finding the quotient and remainder.

Q: 10. An equation of a polynomial with zeroes: -1 (order 2), 2 order (3) and O is 11. The remainder of…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: If f(x) = 3x2 + βx + 4 and f(−1) = 12, what is the value of β? 2)     Show that If 2 is a root of…

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Q: i) By seeing the equation f(x) = x³ – 4x – 9 = 0 , Arwa says that it has a root between 2 and 3.…

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Q: A rectangular corral of 52 square meters is to be fenced off and then divided by a fence into two…

A: I'm providing hand written solution for better understanding.

Q: 19. What is the largest value of the quadratic form 5(x,)? - 3(x2)² if x²x = 1. 20. What is the…

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Q: 3. Find an nth-degree polynomial function with real coefficients satisfying the given conditions. n=…

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Q: 1.If the volume of a box is represented by the expression (x3 - 3x2 -10x + 24) cm3 and the width is…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: y stretched vertically by a factor of 3 52 y- x -1, compressed horizontally by a factor of 2

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Q: Example 2.19. Find a real root of the equation x³ - 2x - 5 = 0 by the method of false osition…

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Q: One zero of P(x)=x3+ 4x2- 9 is x= -3. The other two zeros are x =a±√b/ c. The exact values of a,b…

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Q: 1. Create two different rational polynomial expressions with the following constraints: • one…

A: An expression is undefined when x=4 is given by  px=1xx2-16 An expression is undefined when x=-2 or…

Q: 2) Determine k such that kx² – 4x+= : 0 has real and different solutions.

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Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below

Q: How can I show that there exists at least one solution in the set of real numbers for x5-x3+3x=5…

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Q: 5. Find the equations of the horizontal and vertical asymptotes for the functic 3x2 – 7x + 2 f(x):…

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Q: a) The sign of the leading coefficient is negative. b) The degree of the polynomial is even. c) At X…

A: To answer whether the following is true or false.

Q: c. Find a polynomial of degree 4 with real coefficients that has a root 3 (multiplicity 2), a root 1…

A: see below the answer

Q: Second-degree, with zeros of −3 and 7, and goes to −∞ as x→−∞

A: Given data is : Zerois is -3 and 7 To find the second degree equation.

Q: 9. What is the largest integer value of k for which the equation x2 - 6x + k = 0 gives a real number…

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Q: 4. Find the value of k for which x-3 is a factor of f(x) = 4x3 + 6x2 -9x + 2k. Hence, find the…

A: Remainder Theorem :      If f(x) is divided by x-a then remainder is f(a).

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.