Find the roots of the following polynomial equations by applying the Zero Product Property. (x- 3)(x - 2) (x + 1)(x - 1) = 0 x2 (x-9) = 0 aauatione

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 the zeros of the polynomial f(x) = 3 its two zeros are equal in magnitude but opposite in sign…

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Q: Given that (x+1) is a FACTOR of the polynomial, find all the ROOTS of the polynomial

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Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x) =x3 -px2…

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Q: Find all the zeros of f (x) = x³ – 8 Then, factor the polynomial completely -

A: We have to find

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: Find the roots of the quadratic polynomials: f (x) = x2 − 2x − 1

A: We know that, for an standard equation fx=ax2+bx+c, roots are calculated by using quadratic formula…

Q: Find the zeros of the polynomial f(x) = 4/3x +5x-23, and verify the relationship between the zeros…

A: we have givenf(x) =43x2 +5x-23for finding zeros of this polynomial f(x) =0

Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

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Q: Solve the following polynomial equations.  a) 2X3+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

A: Zero Factor Principle : If  ab = 0  then  a = 0  or  b = 0 .

Q: Find the roots of the polynomial: f(x) = 3xª+5x³+20x² +30x+12.

A: fx=3x4+5x3+20x2+30x+12

Q: Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x3 -px2 +qx-r…

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Q: Find all of the real and imaginary zeros for the polynomial function. 2) f(x) = x³ + 125

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Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

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Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x3-px2+qx-r…

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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: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)=x3-px2+qx-r,…

A: we know for cubic equation,  ax^3+bx^2+cx + d having roots α,β and γ  Sum of roots,α+β+γ=−b/a, Sum…

Q: Find the zeroes of the Quadratic polynomial Sqrt (3) x2 - 8x + 4 sqrt (3) = 0

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Q: solve the polynomial for all roots: f(x)=x3-4x2-5x+20

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Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: Find all real and imaginary zeros for the polynomial function f(x)=2x3−11x2+25.

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Q: り Gx1411v-4x2+31x-8=0 2.) 8xf 1x3_1fx²+x+3 = D

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Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

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 real zeros for the given polynomial function: f(x)= 4x3-7x+3

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Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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Q: .Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)  x5-4x3-x2+4=0…

A: Note: As per company guidelines we are supposed to solve only 3 subparts of the question. So, kindly…

Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

Q: Find the roots of the polynomial: f (x) = x4 + 4x² – 32

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Q: f(x)=x^4+3x^3-45x^2-175x  What is the factored form of the polynomial

A: We can factorise the  given polynomial by splitting the second and the third terms.

Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as…

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Q: Find all zeros of the function and write the polynomial as a product of linear factors. 50) f(x) =…

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Q: Consider the polynomial equation of P(x) = 0 where P(x) = x* – x3 – 2² – r – 2. (h) Find all zeros…

A: We will find the zeros of polynomial as shown below

Q: Find the degree and leading coefficient for the given polynomial x2(2x – 3)2

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Q: Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c. -1-4x 3…

A: The given equation is y3-1-4x

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: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: FInd the zeroes of the polynomial f (x) =x2-12x2+39x-28,if it is given that the zeroes are AP

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Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

A: The solution is given below in the next step:

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

A: Given,           The polynomial is fx=x3-5x2-16x+80.

Q: Find all zeros of the function and write the polynomial as a product of linear factors. 2) f(x) = x3…

A: NOTE: Refresh your page if you can't see any equations. . here we have here x=-2 is a root so…

Q: Find ALL zeros for the polynomial function AND factor the polynomial into linear factors. 7) f(x) =…

A: on solving this we get the

Q: Consider the polynomial equation of P(z) = 0 where %3D P(z) = 1* – 2 –2² – z – 2. (a) What are the…

A: Topic:- algebra

Q: a) For the function of f(x) = x4 + 1, factor f into the product of two irreducible quadratics.…

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Q: Find the factor of polynomial  f(x) = x^2-6x+8

A: We have to find the factor of polynomial  f(x) = x2 - 6x + 8