The polynomialf(x) = x² + 4x – 2x3 – 1 is a. Nested form b. Linear C. Cubic d. Quadratic

Q: ivative of p = 2xz nes maximum in t 3k

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Q: The function given by f(x) = -3x + V2x + -x (is/is not) a polynomial function.

A: A polynomial is a function such as quadratic, cubic and so on which involve only non-negative…

Q: For the quadratic funetion f(x) = x2 – 6x + 18, which of the following statement is true? a) Vertex:…

A: We know the formula for vertex for a standard quadratic equation comparing the given quadratic…

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1),…

A: Given: The linear equation y=ax2+bx+c whose graph passes through the points (1, 4), (2, 1), and (3,…

Q: 4. In each part, determine whether the polynomial is a linear combination of P, = 2+x+x², P, = 1-x²,…

A: We have to determine whether the polynomial is a linear combination of given polynomials.

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

A: Use double derivative concept

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

Q: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: Evaluate the quadratic form f(x) = xT Ax for the given A and x.

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Q: Which is the graph of the polynomial function p(x) = (x-1)(x+1)(x-4)? 241r 24fr y p(x) 16 16 8 8- -6…

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Q: What are the x-intercepts of the quadratic function f (x) = x² + 6x –27? %3D O-1 and 27 O-27 and 1…

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Q: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree  polynomial are  7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

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: Find the vertex of the quadratic f(x) = x2 + 4x + 3 In the box, type the k value

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Q: Consider the following quadratic function. f(x) = −4x2 + 6x − 8 Find the vertex. (x, y)=

A: To determine the vertex of the equation.

Q: For the quadratic function f (x) = x² – 4x + 6, which of the following statement is true? %3D a)…

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Q: 5) Find the intercepts of the polynomial. y=x(x-1)(x+1)

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Q: Find the maximum and minimum value of x² + y3 – 3axy

A: *to find:- maximum & minimum value of z = f(x,y).

Q: What is the lower bound of the polynomial function? f(z) = 1 - 4z - 9z2 +z – 16

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Q: Find the value ofc that makes x² +10x +c a perfect square polynomial

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Q: 2. The quadratic function y =9-x² +4x written in standard form would be (1) y=-x² +4x+9 (3) y=x²…

A: Answer (2) We have to write the quadratic function  y = 9 - x^2 + 4x in standard form

Q: Q4: a) Solve by using Bisection method: x3 - x2 – 2x + 1 [0, 1]

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Q: What is TRUE about end-behavior of polynomial function P(r)%3D-2r'+13r-5x +9? (A) y→-oo as x -0 (B)…

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Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: Find the zero/s of the given polynomial function f(x) = x* + x³ – 29x2 – 9x + 180

A: The factors of a quadratic form of equation ax2+bx+c can be calculated using integer factorization .…

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

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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: Suppose the coefficients of the cubic polynomial p(x) = a +bx+cx^2+dx^3 satisfy the equation:…

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Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

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Q: Find the t-intercepts of the polynomial function. C(t) = 8t(t - 5)²(t + 1) (t, C(t)) = -1,0 )…

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Q: Produce the quadratic polynomial interpolating the data {(-2, –15), (–1, –8), (0, –3)}. Find the…

A: We will find out the required equation of quadratic polynomial.

Q: 3. Determine the x-intercept(s) of the quadratic function f(x) = x² + 10x + 26

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

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Q: If the zeroes of the quadratic polynomial x2 +(a+1) x+b are 2 and -3 then find a and b

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Q: Find the standard formf (x) = a(x – h)² + k of the quadratic function that has a vertex at (-2, 5)…

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Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

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Q: find the t-intercepts of the polynomial function  C(t)=6t(t-4)^2(t+1) (t,C(t))=…

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Q: Fnd the equation of third degree polynomial whose zeroes are 6,7,10

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Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

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Q: State the degree of the polynomial function.  (If an answer does not exist, enter DNE). f(x) = x2-1…

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Q: The polynomial f(x)=x3+x2+1 has a linear factor in Z3[x]. true or false?

A: Solve the following

Q: Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X…

A: Given that: vertex =-12,-19 and x-intercept =-32,0. To find the standard form of the quadratic…

Q: Consider the Quadratic function f(x)=3x^2−12x−66 its zeros are x=

A: Given : fx = 3x2-12x-66

Q: f(x)%=D11x' +17x3 +2x? -Ox° +0x +3

A: fx=11x7+17x5+2x2-0x9+0x+3 We have to find relative maximum and relative minimum for this polynomial.

Q: Find the local extrema of the cubic functionf(x)=x3−3x2−9x+2.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Polynomials

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