A polynomial f(x) = x³ + ax² – 3x + b when divided by 91 (x) = x – 2 gives a remainder of 6 and f(x) is divisible by g2 (x) = x + 1. What are the values of a and b ? Determine the remainder when f(x) is divided by 9(а) %3D (х — 2)(ӕ + 1). - -

Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: A fourth degree polynomial equation is shown below. (4x2 - 8x - 5) (3x² – 7x-6)=0 Which of the…

A: 4x2-8x-53x2-7x-6=0

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

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Q: The polynomial P(x) = 5x2(x – 1)°(x + 6) has degree It has zeros 0, 1, and The zero 0 has…

A: topic - polynomials multiplicity of zero : The number of times a given factor appears in the…

Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: Factor the polynomial 4x 4-28x 3+ 61 x2 - 42x+9 and find its zeros given that one of its zeros (of…

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c…

Q: Determine the real root of f(x)= -25+82x-90x2+44x3-8x4+0.7x5. Iterate until the estimated error…

A: given: fx = -25+82x-90x2+44x3-8x4+0.7x5To find root we put fx =0. ⇒-25+82x-90x2+44x3-8x4+0.7x5 = 0…

Q: 1.Solve the following polynomial equations.  a) 2X2+1=x2+2X b) x3+6x2+11x+6=0

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The polynomial p(z) = = 3z- 20z2 +37z- 20 has a known factor of (z-4). %3D Rewrite p(z) as a product…

A: topic - factorisation

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: 11.Solve the following polynomial equations.  a) 2X3+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0

A: Since you have asked multiple subpart, as per our guideline We are supposed to answer only first 3…

Q: Carlo is trying to factor the polynomial p(x) = x4 – 4x3 – 4x2 + 24x-9 to determine all of its…

A: As per the question, Carlo is trying to factor the polynomial p(x)=x4-4x3-4x2+24x-9 to determine all…

Q: What is the largest multiplicity in the factored polynomial y = (x2 – 1)(x + 2)(x + 4)?

A: Here function is :  y = (x2 - 1) (x +2 ) (x+4)  It can be written as  y = ( x - 1)( x + 1 )( x + 2)(…

Q: How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a…

A: Here the linear factorization of the function f(x) is given as:…

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: The polynomial  P(x) = 5x2(x − 1)3(x + 8)  has degree  . It has zeros 0, 1, and  . The zero 0 has…

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Q: 2) The polynomial function f(x) = x³ – 4x² + ax – 12 has (x – 4) as one of its factors. What would…

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Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

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Q: Factor f(x)= 3x + 11x-67x+21 into linear factors given that -7 is a zero of f(x). f(x) = 3x° + 11x -…

A: This question is based on factorisation of Polynomial.

Q: Factor f(x) = 4x3 + 15x2 - 24x + 5 into linear factors given that - 5 is a zero of f(x). f(x) = 4x3…

A: Factor problem....

Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: Factor f(x)= 4x + 9x- 25x +12 into linear factors given that -4 is a zero of f(x). f(x} = 4x° + 9x –…

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Q: a) Factor  f(x)=x^3-4x^2−16x-64  into factors of the form (x-c), given that 4 is a zero. (b) Solve…

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Q: A cubic polynomial ,k(x)=x^3+bx^2+cx−4,has a remainderof−2 when divided by x−1 and a remainder of…

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Q: The polynomial p(x) 3 3x3 -20z2+37 -20 has a known factor of (z- 4). Rewrite p(a) as a product of…

A: Given: So, to get other factors we find p(x)/(x-4). Now,…

Q: F(x)=3x^4-9x^3+5x+14 What is the remainder? Is x-2 a factor of f(x)=3x^4-9x^3+5x+14

A: Divide the polynomial  for finding the remainder.

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: D. Given that (x-1) and (x+2) are factors of f(x) where f(x) 2x- ax+bx + 6, find the values of the…

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Q: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: 16. Given that (x - 1) is a factor of the polynomial fix)= ax + x3 - 12x2- x+ 2.Find the value of…

A: We solve this problem using concept of roots of the polynomial. According to the bartleby guidelines…

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: y -13 -6 -5 -4 3 Points (x, y) given in the table above are all on the polynomial function y = P(x).…

A: Topic- root of polynomial

Q: 4. How should the polynomial function f(x) = -x + 2x³ + 3x5 – 6 be written in standard form? A. f(x)…

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Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: Given the solution below, what is the polynomial in factored form? 3 T = -, x = -5 %3D 4 Factored…

A: Solution: Polynomial in factor form is a product of its factor.

Q: • Consider the polynomial P(x) = x³ – 4x² + ax – 3. Find a if, when P(x) is divided by r +1, the…

A: I am just solving the first  two question (1) Given that the polynomial P(x) = x3-4x2+ax-3 , is…

Q: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the…

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: Solve the polynomial equation x3 + 4x2 − 9x − 36 = 0 and select the correct answer below.  a x =…

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Q: In the polynomial function f(x) = 12x5 + 5x + 3x7-9x2- 18, the leading term is 1). is the leading…

A: You have posted multiple questions. We are answering the first one. If you need an answer to the…

Q: The polynomial function B(x) = x' + 8x² + 5x = 14 has a known factor of (x + 2). Rewrite B(x) as a…

A: Here given (x+2) is a factor of function

Q: A polynomial, p(x)=3x^4+Bx^3+Cx^2+x-2, has real coefficients. a. Show that P(x) has at least one…

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Q: The polynomial function q(x) = 3x + 11x2 - 14x- 40 has a known factor of (3x+5). Rewrite g(x) as the…

A: Given, polynomial function qx=3x3+11x2−14x−40 and known factor 3x+5 To write: qx as the product of…

Q: Q.22 Factorise using factor theorem: (i) y² -5y+6 (ii) x² +4x-5 (iii) y² –2y-15 Factorise: (i) x -…

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Q: The polynomial P(x) = 5x2(x − 2)3(x + 6) has degree.........  . It has zeros 0, 2, and......... The…

A: Given polynomial function                       P(x) = 5x2 (x-2)3 (x+6)here the highest co-efficient…

Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given:  f(x) = x3+x2-5x+3 Now we have f(3) = 24

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

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Q: In an experiment, a scientist obtained the following data.    x  0  1        -1              y -5…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.