One of the roots of the polynomial equation 2 x 3 + 9 x 2 – 33 x + 14 = 0 is 2. Find the other roots.

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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 .

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Q: How can you quickly determine the number of roots a polynomial will have by looking at the equation?

A: To determine the number of roots of a polynomial

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A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

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A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

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Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

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Q: Solve the following polynomial equation by grouping and factoring. 16y3 – 25y = 0 Enter the exact…

A: Given : 16y3 - 25y = 0

Q: Find the number of roots for the equation. 5x4 + 12x³ – x² + 3x + 5 = 0

A: As we know that the number of roots is equal to the highest power of the polynomial.

Q: Find all real solutions for the polynomial equation  -3x^3+ 7x^2- 2x- 2= 0

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Q: Find the roots of the equation z² - 4z + 5= 0

A: Solution

Q: (a) Factor: x2-2x- 3 (b) What the roots of x2 - 2x - 3 = 0?

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Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root.…

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Q: Solve the following polynomial equation by grouping and factoring. 9y³ - 16y=0

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Q: Find the polynomial equation that has 2, -1, and -2 as roots

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Q: B. Find a polynomial equation with integer coefficients that has the following roots. 1, -2, -5 1.…

A: Given that:                         1. 1, -2, -52. ±1, 23. ±2, ±3

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A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

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A: Simplify the polynomial equation x4 + 5x2 = x3 as follows.

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Q: The equation y = 4r + 20z2 19z + 30 has one root at x = -6. Use synthetic division to find a…

A: Given:  The equation is y=4x3+20x2-19x+30   One root x=-6  Using synthetic division method the…

Q: Find the rational roots of x* + 8x + 7x-40x- 60= 0. 02,6 О-6, -2 O-2, 6 О-6, 2

A: Given  x4+8x3+7x2-40x-60=0 let, f(x)=x4+8x3+7x2-40x-60 Given that there is at least one and possibly…

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: 3xー12x-3×ナ2

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Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

Q: solve using the zero factor property 45-t2=0

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Q: Write a polynomial equation with integer coefficients that has the given roots. y = 7, y = -2

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Q: The sun of the roots of 2x +10x-4=0 is

A: x3+a x2+bx+ c = 0 Then sum or roots of this equation is = -a Compare equation 2x3+10x-4 = 0  Then…

Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

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Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: Find the smallest root of the equation f(x) = 2x – 6x + 11x – 7 = 0

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Q: Show that the equation r1 + x³ + 4x – 2 = 0 has exactly one real root.

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Q: Find the value of the constant "k": 3x^2-5x+ 4k-5-0 has one root equal to 0.

A: We will use formula for root of quadratic equation

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Q: 4x* +12x +17x² +10x+2=0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2.) × 1+2xー13x2- 14xt2イ=0

A: To find  The complete set of possible rational roots.

Q: 3. If x=-2 is one of the roots of 6x'+11x - 4x -4 = 0, find the other two roots of the polynomial…

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Q: Solve for all values of x by factoring. x2 + 4x + 5 = -6x + 5 %3D

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Q: Find all real solutions of the polynomial equation. −4x3 + 8x2 − 2x − 2 = 0

A: On solving this we will get

Q: One of the roots of the polynomial equation 2x^3 + 9x^2 - 33x + 14 = 0 is 2. Find the other roots. *…

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Q: For the polynomial equation 9x6 + x3 - 2x - 6 = 0 , what is the number of (complex) solutions that…

A: Number of solution is either 2 or 4.