Use Descartes' Rule of Signs to determine the possible number of positive and nega- tive real zeros of the polynomial P(x) = 3x° + 4x + 3x – x - 3

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: Find all zeros of the polynomial. P(x) = x5 - 3x4 + 12x3 - 28x2 + 27x - 9

A: Zeroes of the polynomial are the values which return zero value for the polynomial. Highest power of…

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: 6. Find all real zeros of the polynomial and write the polynomial in factored fe Rx) = x² – 4x² +x…

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

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Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

A: a) Given that, the function R(x) has the zeros -5,8,9 and -5+5i. Note that, if a+ib is a root or…

Q: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

A: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

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

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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: Given, P(x)=x4-2x3-9x2+2x+8, a=-3 and b=5       Show that a=-3 is the lower bound and b=5 is the…

Q: Find a polynomial of degree 3 that has zeros of 3, 4, and 5, and where the coefficient of x? is 8.…

A: polynomial of degree 3 has zeros of  3, -4 & 5 and coefficient of x2is 8Let the polynomial be…

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: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

A:

Q: Find all zeros of the polynomial. P(x) = 2x3 + 7x2 + 12x + 9

A: Find all zeros of the polynomial. P(x) = 2x3 + 7x2 + 12x + 9

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

A: Given polynomial                    P(x)=8x3+10x2-39x+9

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

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Q: Find all rational zeroes of polynomial and write it in factored form P(x) = x' - 7x' + 14x – 8

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Q: If one of the zeroes of the quadratic polynomial (k-1)x2+kx+1 is - 3 then find the value of k

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

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Q: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 10 whose coefficients are real numbers.

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: Find all zeros of the polynomial. P(x) = x5 - 2x4 + 2x3 - 4x2 + x - 2

A: Given, p(x)=x5-2x4+2x3-4x2+x-2 now find the factors and zeros of function p(x)=0…

Q: Find all the zeros of the polynomial f(x)=2x^3-5x^2-4x+3

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

A:

Q: Find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of x3 is -6.

A: We need to find a polynomial of degree four that has zeros -3, 0, 1, and 5, and the coefficient of…

Q: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: Use the Rational Zeros Theorem to list all potential zeros of the polynomial. 17. f(x)=9x³ – 2x' +11

A: Let's find.

Q: Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose…

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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: (2) Consider the polynomial 6x 22x2 + 7x + 15. What are all - of the possible rational zeros? Does…

A: To find the possible rational roots

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: 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 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: Iff (x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), -5 (multiplicity 1),…

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

A:

Q: Find all zeros of the polynomial. P(x) = x3 + 7x2 + 18x + 18

A: Given polynomial P(x) = x3 + 7x2 + 18x + 18

Q: Find all zeros of the polynomial. P(x) = x3 -x - 6

A: Given P(x)=x3-x-6 Let x=2, P(2)=23-2-6        =8-8        =0 Hence 2  is a zero of P(x). So, x-2 is…

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

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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: Here we have ;  P(x)=3x4-5x3-2x2+x-1

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

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

Q: Find algebraically the zeros for .3 p(x) = x³ + x² – 4x – 4 %3D -

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Q: 7) Using the fact that x = 1 is a zero of the polynomial P(x) = x³ - 4x² - 7x + 10, reduce P(x) to a…

A: Given polynomial is Since, x=1 is zero of P(x) , therefore (x-1) is factor of P(x) Dividing P(x) by…

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

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

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

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

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

Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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Q: Form a polynomial (fx) with real coefficients having the given degree and zeros.   Degree​4…

A: The zeros of the polynomial f(x) is 2, -2+3i and the zero 2 has multiplicity 2. Remember that…