Show that is a zero of the polynomial 2 P(x) = 2x* + æ – 5a2 +10x - 4

Q: Find  the value of the polynomial 5x-4x2 + 3 at x = 2 and  x = -1

A: Given, Polynomial  =  5x- 4x2 + 3  Finding the value of polynomial at x = 2  = 5*2 - 4(2)2 + 3 = 10…

Q: 'Jse the Intermediate Value Theorem to show that the polynomial f(x) = 3x³ — 4x² + 5x − 6 has a real…

A:

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

Q: For the polynomial g(x) = x³ − 5x² + 5x + 3 - Express g (x) as a product of linear factors. below, 3…

A: Use the zero given for finding out the factor

Q: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

A:

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: Consider the polynomial function 1 f(x) = 6x° + 10æª 12 24x %3D -- - - 19

A: The given polynomial,f(x)=6x9+10x4-x312-24x-119

Q: Find the zeroes of the polynomials f(x) = x3 -12x2+39x, if it is given that the zeroes are in AP

A:

Q: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: Find the zeros of the polynomials f (u) =4u2+8u ,and verify the relationship between the zeroes and…

A: Sum of zeros = -(b/a)  product of zeros = (c/a)

Q: find bounds on the real zeros of each polynomial function.; f(x) = 2x3 - 7x2 - 10x + 35

A: The given polynomial is 2x3 - 7x2 - 10x + 35to find the bounds on zeros, we will follow the given…

Q: find all zeros of the polynomial  p(x)=x^4+x^3+7x^2+9x-18x

A: Given that:p(x)=x4+x3+7x2+9x-18

Q: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

A:

Q: For the polynomial below, 1 is a zero. h (x) =x' + 3x- 7x + 3 = X

A:

Q: Show that the polynomial does not have any rational zeros. P(x) = 3x3 - x2 - 6x + 12

A: Given: P(x)=3x3-x2-6x+12 To show that the polynomial does not have rational roots.

Q: 15. If the zeros of the polynomial x²+px +q are double in value to the zeros of 2x²- 5x -3, find p…

A:

Q: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 4x* - 7x2 + 2 has a real zero…

A: topic - intermediate value theorem

Q: Show that the polynomial does not have any rational zeros. P(x) = x3 - x - 2

A: Show that the polynomial does not have any rational zeros. P(x) = x3 - x - 2

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: The answer is given below:

Q: The number of zeros of the polynomial x² + 3x +2 in Z, is: O 1 O None O 2

A:

Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between2 and 3.

A: We have to show that polynomial fx=x3-2x-5 has a real zero between 2 and 3.

Q: Find thezeroes of the polynomial p(x)=(x-2)2-(x+2)2

A:

Q: Use the Intermediate Value Theorem to show that the given polynomial f(x) = x4 + 6x3 - 18x2 has a…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the zeros of the polynomials f(x) =x3-5x2-16x+80,if it's two zeros are equal in magnitude but…

A:

Q: Create a polynomial that has the following characteristics: Has a zero of c = 0, with a multiplicity…

A: Leading term of a polynomial is the term with the highest power of x. For example: f(x)=2x3 +2x+4…

Q: find the zeros of the quadratic polynomial x2 +7x+12 ,and verify the relation between the zeros and…

A: Given the polynomial x2+7x+12=0

Q: Find the Zeros of the polynomial function. f(x) = x2 -11x + 24 O x = -3, 8 O x= -3, -8 O x = 3, -8 O…

A: Given: fx=x2-11x+24 For finding zeros of given equation, we equate it with zero and factorize it

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: Find all zeros of the polynomial. P(x) = x4 - x2 + 2x + 2

A: Use the rational root theorem a0=2,     an=1 The divisor of a0=1, 2 The divisor of an=1 Therefore…

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

A:

Q: Find all zeros of the polynomial. P(x) = 4x4 + 2x3 - 2x2 - 3x - 1

A: Our Aim is to find all zeros of the polynomial given below:-P(x)=4x4+2x3-2x2-3x-1 -(i)

Q: Find all zeros of the polynomial. P(x) = x3 - 3x2 + 3x - 2

A: Given polynomial is P(x)=x3-3x2+3x-2

Q: (x) = x'+ 7x + 21x+ 35x + 35x+ 21x+ 7x + 1

A: Px=anxn+an-1xn-1+.........+a1x+a0But an≠0 and a0≠0an=Leading coefficienta0=Constant termpq=factor of…

Q: Find all zeros of polynomial  P(x) = 3x^3+x^2+7x-6

A:

Q: Find the zeros of the polynomials f(x) =x2-5x2-16x +80 ,if it's two zeros are equal in magnitude but…

A: Consider the polynomial  fx=x3−5x2−16x +80

Q: Verify that 3 , -1 , -(1/3) are the zeroes of the cubic polynomial  p(x)=3x3-5x2-11x-3

A:

Q: Find the value of the polynomial  5x-4x2+3 at x = 2 and x = -1

A: Given, F(x)= 5x-4x2+3 At x=2 F(2)= 5*2-4*22+3 F(2)= -3

Q: Find all zeros of the polynomial. P(x) = 4x4 + 4x3 + 5x2 + 4x + 1

A: `p(x)=4x4+4x3+5x2+4x+1

Q: What is the degree of the polynomial 9 - 3x + 4y - x2? O 1 O 2 3. O 4

A: Degree is heightest power of polynomial.

Q: Express the second order polynomial p(x) = x^2 + 4x + 13 in the sum of square form

A:

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: Use the Factor Theorem to show that the statement in the exercise is true.

A:

Q: Find the critical points, A and B, of the following polynomial (with A<B) f(x) = 6x3 - 45x2 - 432x…

A: A = -3.04 B = 8.04

Q: Show that the polynomial does not have any rational zeros. P(x) = 2x4 - x3 + x + 2

A: The zeros of a polynomial function are the x-intercepts.

Q: Find Ao, A1, and 4, in rewriting the function of ()- r>0 in terms of Lagure polynomial, /)=4L(*).

A:

Q: Find all zeros of the polynomial. P(x) = x4 - 2x3 - 2x2 - 2x - 3

A: Given, P(x) = x4 - 2x3 - 2x2 - 2x - 3