The number of zeros of the polynomial x+4x +1 in Z, is. O None O 2 O 4

Q: The number of zeros of the polynomial x² + 4x +1 in z 1 O None 2 4

A:

Q: 3. List all the possible rational roots of the polynomial. p(x) = 2x5+ 21x-42x +5x3 + 93x2-7x + 50…

A: Explanation of the solution is given below...

Q: 1. Determine all the zeros for the polynomial P(x) = 4x³ – 13x² + 8x + 15 given that x = 2 – i is a…

A: conjugate of x will also be a zero of polynominal

Q: Give all possible rational zeros for the following polynomial. p(x)= 6x3 + 24x2 + 2x - 3

A: The given polynomial is,

Q: Find all zeros of the polynomial. P(x) = x5 - x4 + 7x3 - 7x2 + 12x - 12

A: We have a polynomialP(x) = x5 - x4 + 7x3 - 7x2 + 12x - 12First of all by hit and trial, we will find…

Q: If a and B are zeros of polynomial p(x) =x² – 5x +6, then find the value of a + B - 3aß.

A:

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

A:

Q: Find the zeroes of the polynomials f(X) =x3-12x2+39x-28 ,if it is given that the zeroes are in AP

A: Given f(x)=x3-12x2+39x-28  Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: The number of zeros of the polynomial x? + 2x +3 in Z, is: 1 None 4.

A:

Q: P(x) = 3x – 4x +2x? + 3x - 6 How many real zeros does the above polynomial have?

A: A real zero of a function is a real number that makes the value of the function equal to zero.…

Q: Find all Zeros of P(x)=2x^2-5x+4

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Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: The number of zeros of the polynomial x? + 4x +1 in z, is: 4 None 1

A: solution of the given problem is below...

Q: 8. Factor the polynomial r - 2x2 - x- 28 into linear factors. Begin by using a graph to find a real…

A: Given: x3-2x2-x-28

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

A:

Q: Indicate if the polynomial is even, odd or neither. p(x)=3x^4-5x^2+1

A: Explanation of the answer is as follows

Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Perform synthetic division on the polynomial. -If the entries in last row alternate in sign then a…

Q: Use Descrates's Rule of Signs to determine how many positive and how many negative real zeros the…

A: Descartes's rule of signs: Consider a polynomial p(x). This rule states that the given polynomial…

Q: Choose all possible zeros of the polynomial of h(x) = 5x³ – 5x² – 10x. %3D | O x = 2 Ox = 0 x =-1 x…

A: Set h(x) = 0. If h is zero of h(x), then h is the factor of constant term.

Q: Consider the polynomial p(x) = 45x³ + 69x? – 24 – 48 What are the zeros of 3p (x + 1)? O-, -2, - ,…

A: Given the polynomial,

Q: Find a polynomial p with real coefficients that satisfies the following: The zeros of p are c =+ or…

A:

Q: Which polynomial has zeros of (-2, 0); (3, 0); and (3, 0)? O f(x) = a² – x + 6 O f(x) = a² – x – 6 O…

A:

Q: Based on the Fundamental Theorem of Algebra, how many zeros does the polynomial z - 3z-5z +15r? -…

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Q: 3. Find all zeros of P(x)=2x^3-5x^2+3x+3

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Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x +7x? + 3x.

A: The detailed solution is given below Thank you

Q: Find all zeros of the polynomial. P(x) = x2 + 2x2 + 4x + 8

A: Given: px=x2+2x2+4x+8 We know that zeros of quadratic equationax2+bx+c=0 is given by x=-b±b2-4ac2a…

Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O None O 1 O 2 4

A:

Q: 1. What is the degree of this polynomial ? -2x^2 + 9x^4 - 7x^3 - 12x + 8 *

A:

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: A zero of the polynomial 8x3-10x2-x+3 in Z1s(x) is O a.x=-1 O O b.x-1 OCx-2 Od. None

A: From the option, we put the value of x and then find out value of equation , If zero will come its…

Q: Assume that the polynomial 7? + bx +c = 0 in which b, cE Z, has two integer solutions. Which one of…

A: We have to equation as - x2 + bx + c = 0.......(1) The above equation (1) is a quadratic equation…

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

A:

Q: How many zeroes does the polynomial (x-3)2 - 4 can have. Also find its zeroes

A: This polynomial has two zeros.

Q: Select the polynomial that has exactly three zeros O - 111 O 4x + 11x O 22 - 3x? + 2x2 2 x² 2x 8 -…

A: we know that if polynomial has n degree then there are at most solutions. here in option A…

Q: The polynomial 3x^4-2x^3+x^2-k is divisible by x+1. Find k.

A: Given:- p(x)= 3x4-2x3+x2-k, given polynomial p(x) divisible by x+1 To find:- value of k

Q: 4. Find all the real and complex zeros of the polynomial. P(x) = 2x3 + 5x² – 6x – 9 9

A: Given P(x) = 2x3 + 5x2 -6x-9

Q: 1. Which polynomial has 31, -31, and 3 (with multiplicity 2) as its roots? A -3x' +9x + 27 Bx -6x'…

A:

Q: If 1 is  a zero of the polynomial  p(x) = ax2 - 3 (a - 1 )x - 1 , then Find the value of a

A:

Q: Consider the polynomial p(x)=45x3+69x2−24x−48 What are the zeros of 3p(x+1)?

A: Given,

Q: Write the polynomial as the product of linear and quadratic factors that are irreducible over the…

A:

Q: Construct a polynomial with Z coefficents with a root of the given C 2+ V7 (d) 3 (e) V3+ v2

A:

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

A: Given: P(x)=x3-2x2+2x-1

Q: In the polynomial P(x)=(x-1)4(x+3)(2x+3)3(x-6)2 the multiplicity of the zero 6 is?

A: Given:

Q: . (a) If a is a zero of the polynomial P, then mustbe a factor of P(x).(b) If a is a zero of…

A: let the polynomial function Px=x-ck where, c is constant and k is the power of the function. The…

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

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