What is the multiplicity of the root r = 2 for the polynomial y = x³ – 3? + 4? O 2 O 4 O 1

Q: What is the largest root of the polynomial x? + x – 12? О А. 3 В. 4 О с. 1 O D. 2

A: Using factorisation to find roots

Q: Write a polynomial f(x) of degree 3 given zeros --6 and 2i. O f(z) = 2 + 6a? + 4x + 24 f(x) = 2 -…

A: finin x1=−6 & x2=2i areroots of a polynomial f(x)forof degree 3.

Q: 29. Select the quadratic polynomial with roots -1 and 4. 22 + 3x – 4 O a3 – 2a? – 7æ – 4 O 4x2 + 8x…

A: It is given that the equation is in quadratic And the two roots of the equations are -1 , 4    This…

Q: A polynomial expression is given. 3z (zy) 21'y Which is an equivalent form of the expression? 3y 3y

A: Explanation of the answer is as follows

Q: For the polynomial f (x) = x³ – 2x² – 5x + 6 what is the end behavior as x → +∞ O x → ±∞ O x → -∞ x…

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Q: The general solution to 3x" + 2y = 0 can be obtained using?

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Q: 3.  How many possible rational roots are there for the polynomial P(x) = 10x^3 + 6x^2 +4x+4? A.) 10…

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Q: 35. By completing the square in the quadratic x² + x + 1 and making a substitution, evaluate dx x² +…

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Q: 7. For the following polynomial function find the x intercepts and the y-intercept of f(x) = x? – 4x…

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Q: Find Y in (D^2 - 6D + 8) y = 8x^2 - 12x + 2 + ye^x using METHOD OF UNDETERMINED COEFFICIENTS

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Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: Show that the cubic polynomial p(x)=ax^3+bx^2+cs+d has exactly one point of inflection (x0,y0),…

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Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

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Q: Given that z = 3 is a root of %3D f(x) = x³ – 10x? + 13x + 24, determine the other real roots. The…

A: It is given that, fx=x3-10x2+13x+24We have to find the smaller and the larger roots.

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

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Q: Find by differentiating implicitly. When applicable, express the result in terms of x and y. 4x +…

A: Given that: 4x23y2+5+3y=4x+3

Q: dy y' +1 ,2

A: We need to solve the integral

Q: Which of the following numbers is not a potential rational zero of the polynomial function -p(x) =…

A: The given question is solved below.

Q: Find the constant C such that .4 x3 - 3x + 5 < C,

A: x3 - 3 x + 5≤c x∈{0,3}

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: The polynomial y = x³ + æ³ – a? – 1 factors into (x? + 1)(x³ – 1). What is the multiplicity of the…

A: Polynomial y = x5+x3-x2-1Factored form: x2+1x3-1Equate x3-1 = 0                +1     +1x3 = 1Taking…

Q: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

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Q: For the polynomial f (x) = x³ – 2a² – 5æ + 6 what is the end behavior as x x → ±∞ - O x → 0 → +∞ 8.…

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Q: Find the roots of the quadratic polynomials:(a) f (x) = 4x 2 - 3x - 1 (b) f (x) = x 2 - 2x - 1

A: We set them equal to 0 and solve for x we first factor the left side then we set each factor equal…

Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

A: We have to find all roots by using Bairstow's Method.

Q: Find the zeros and give the multiplicity of each for f(x) = x{x – 2){x +4)². -

A: Polynomial:- The term "polynomial" refers to a sort of expression. A mathematical statement without…

Q: ind the zeros and determine the multiplicity f(x) = (2x + 1)3 (9x2 – 6x + 1)

A: In general, given the function, f(x), its zeros can be found by setting the function to zero. The…

Q: ! and A quadratic polynomial y = 4x? + 7x – 3 has roots pand q. Find a quadratic g(x) = x2 + ax + B…

A: To find out the quadratic equation.

Q: What is the zero of r (x) x +12 ? %3D O12 O 9/3 O None of the above /3

A: We put polynomial equal to 0 and find out the value of x. The value of x is our zero of r(x).

Q: Find the roots of the polynomial: f(x) = xª + 5x² – 36.

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Q: What are the roots of the polynomial y = x³ – 8? O r = 2, a = -1±iv? O ¤ = 2, x = ±1 O ¤ = 2, x = ±i…

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Q: could you help please help with these questions. Thank you

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Q: Suppose the PMF of X is given by: Px(x) = 712|1-4,-1,2)(X) + > a) P(-1 <X< 2) b) R(Y 0) %3D d)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Find the nth Maclaurin 3x - 5 f(x) = x + 1 P4(x) = polynomial for the function. n = 4

A: Given function f(x) =3x-5x+1

Q: What are all the possible rational roots of the polynomial f(x) =x* – 3x³ +x – 3? A 3, -3 B 1, -1,…

A: The polynomial function is given by fx = x4-3x3+x-3 To evaluate: The rational roots of the function.…

Q: Find the value of the constant "k": 3x^2-5x+ 4k-5-0 has one root equal to 0.

A: We will use formula for root of quadratic equation

Q: 7. For what value of b will the polynomial f(x) = -23 + b? remainder when divided byr-2 and r+1. 5x…

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Q: Write down the general solution of 4x? – 2xy + 2+ (4y – x² + 2)y' = 0, x > 0, y > 0 You should…

A: The given problem is to solve the given ordinary differential equation and express the solution in…

Q: Find a polynomial of the form f(x) = ax + bæ? + cx + d such that f(0) = 6, ƒ(2) = 6, ƒ(-3) = 7, and…

A: We need to find the unknown values a, b, c, d for which first we need to find the linear system and…

Q: Which of the following polynomial functions has the roots 3, -1, 1, 4?   a. P(x)= x4 - x3 + 13x2 -…

A: The general form of a polynomial equation of degree n is given by a0xn+a1x1....+an-1x+an=0. The root…

Q: List all the possible Q roots, do NOT factor. (a) f(x) = x³ – 4x² + 1 (b) g(x) = 4r3 – 4r2 – 17x - 7…

A: The rational root theorem states that if the polynomial  Px=anxn+an-1xn-1+...+a1x+a0 has any…

Q: Find a polynomial of the form f(x) = ax + bæ? + cx + d such that f(0) = 6, f(2) = 6, f(-3) = 7, and…

A: Given: fx=ax3+bx2+cx+d such that f0=6, f2=6, f-3=7 and f-4=2.

Q: 3. Solve for all the roots of x using Bairstow's Method starting at r₁ = 0.25 and s₁ = 8.75 of the…

A: Given that, A polynomial fx=x4+8x3+72x-81           1, starting with at r1=0.25,  and s1=8.75,  then…

Q: Given that 5x - 2is a factor of polynomial functions f(x) kx- bx + 2k, %3D determine the ratio k: b…

A: Given that 5x-2 is a factor of polynomial functions f(x)=kx2-bx+2k.

Q: Perform the division. 10x y-40xy + x3y² 10ху 2,,2 O A. xy² - 4 + xy О в. xу? - 4 + 10ху O C. xy? - 4…

A: To perform the division , the each term of the numerator is divided by 10xy and cancel similar…

Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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Q: What

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Polynomials

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