1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or dependent. If it is linearly dependent, show how to write one polynomial in terms of the %3D others.

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: Write an equation for the polynomial graphed below 5+ 4 1- -5 -4 -3-2 -1 12 3 4 5 -4 -5+ y(x) %3D 3n…

A: Topic = Polynomial

Q: If a and B are the zeroes of the polynomial f (x) = ax +bx +c then evaluate a+B*

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Q: Suppose we want to find the unique second degree polynomial functionp(x) such thatp(−2) =−1,p(2)…

A: Given :p(-2) =-1p(2) = -1p(3) = -6General form of polynomial is p(x) = Ax2 + Bx + CTherefore;p(-2)…

Q: Pls help ASAP

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Q: Graph the polynomial P(x) = -(x + 3)3 + 8, showing clearly all x- and y-intercepts. y y 20 50- 10 40…

A: x - intercept , where the graph cut the x - axis . And y - intercept , where the graph cut the y -…

Q: Determine whether the first polynomial can be expressed as a linear combination of other two…

A: The given polynomials are  2x^3 − 2x^2 + 12x − 6, x^3 − 2x^2 − 5x − 3, 3x^3 − 5x^2 −4x − 9

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: Find a polynomial P(x)=x3+ax2+bx+c satisfying ALL of the following properties:

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Q: determine the polynomial function whose graph passes through the given points (2, 4), (3, 6), (5,…

A: The given points are: (2,3),(3,6),(5,10). That is the y-coordinates is double than the corresponding…

Q: A polynomial has only zeroes 1, 2, and 5 with the multiplicities 4, 2 and 1 respectively. What is…

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Q: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

Q: 7. Write the polynomial function, P(x), whose zeros are 0, 4, and -6. A. P(x) = 2x(x² - 4x + 6) C.…

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Q: Find a polynomial P(x) = ao + a₁x + ₂x² + 3x³ of degree 3 whose graph passes though the following…

A: Solution

Q: Let p be a polynomial function defined by p(x) = 2x³ + 5x²–6x-9. Use the fact that p(-4) = –33 ,…

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Q: , (-1, 13), and (2, -2).

A: To find the value of a, b and c in the polynomial ax2+bx+c passes through the point (1,1) , (-1,13)…

Q: 2. Determine the equation of the polynomial function from each graph. 个y。 b) 个y 4 2- 2. -2- (0,-2)…

A: We have to find out the function from the graph.

Q: 10. Determine whether the first polynomial in P3(R) can be expressed as a linear combination of the…

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Q: Given p(x)=(x-4)^5 (x+1)(x-2)^3State the zeros and their multiplicities. What is the degreeof the…

A: Given:The function is, p(x) = (x−4)5(x+1)(x−2)3.

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

A: The degree of a polynomial is same as the highest power of the variable present in the polynomial.…

Q: If c is a zero of the polynomial P, then(a) P(c)=________.(b) x c is a___________ of P(x) .(c) c is…

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Q: If b is a zero of x2 + x + 2 over Z5, find the other zero.

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Q: Find the zeros of the given function and state the multiplicities. f(x) = -2xˆ2 (x-3)ˆ3 (x+5)ˆ2

A: Given:

Q: If x* – 1 = (x – 1) q (x), which polynomial represents q(x)? |

A: As we know that (x2-y2)=(x-y)(x+y)

Q: Determine the linear factors of the polynomial function: g(x) 3x-3x-18x. 12 %D F x(3x + 2)(x-3) G…

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Q: If a and ß are the zeros of the quadratic polynomial f(x) = ax + bx+c, then evaluate: a* + B* .

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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 LCM of the given polynomial. x - 3,   x2 + 3x,    x3 - 9x

A: Given polynomial: x-3x2+3xx3-9x

Q: 1. State the degree, leading coefficient, and end behaviours of each polynomial function. a) f(x) =…

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Q: Find a quadratic polynomial such that f(1) = 5, f'(1) = 4, and f"(1) = 8.

A: The quadratic polynomial is of the form: f(x)=ax2+bx+c...(1) Now,…

Q: Given the function P(r) = – 11(r – 7)°(r – 6) (r + 8)“. its roots are (List the zeros in order from…

A: Please refer the attached image for complete solution.

Q: 9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx +…

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Q: Write a polynomial function in standard form with zeros at 2, 4, and 5. 0 (2) = 2 382 + 11a 40 %3D…

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Q: 5. Use end behaviours, turning points, and zeros to determine which graph represents the polynomial…

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Q: If a,ß the zeroes of the polynomial 2y + 7y + 5, Find the value of a+ß+aß

A: For finding zeroes I used factor method for quadratic equation I completely solved in the 2nd step…

Q: If a and ß are the zeros of the quadratic polynomial f (x) = kx² + 4x + 4 such that a“ + B² =…

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Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

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Q: Determine the linear factors of the polynomial function: g(x)%D 3x-3x2-18x. 12 22 F x(3x + 2)(x- 3)…

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Q: 2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, =…

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Q: Which polynomial function has zeros -2, ½, 2, 1? O A. y = 2x^4 - 3x^3 – 7x*2 +12x - 4 O B. y = 2x^3…

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Q: Find values of a, b, and c such that the graph of the polynomial p(x) = ax²+bx+c passes through the…

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Q: Consider the intersection of a linear function f(x) = mx + b and a third degree polynomial function,…

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Q: Beth claims that if a graph of a polynomial has zeros at (-5,0) and (3, 0), then the factored form…

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Q: i Yi -2 3. -1 x2-9x+8 3. 1. 1, 2.

A: Solution is uploaded here

Q: What is the formula for w(x), the node polynomial?

A: Node Polynomial: Let f (X) be a function on the interval [a, b] and n nodes are chosen on the…

Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x^3−24x^2+5 A=B=

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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: determine the degree of the given polynomials. 5y6 + y4 - 2y2 - 8

A: The given polynomial is 5y6+y4-2y2-8

Q: Graph the polynomial P(x) = -(x + 2)3 + 27, showing clearly all x- and y-intercepts. y y 50 50아 40…

A: In this question we will use basic of calculus i.e concept of graphing of polynomial function. We…

Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

A: To check whether a given quadratic equation can be factorized, we first need to check the…