The product rule for square roots states that if a and b are nonnegative, then Vab =

Q: From the given polynomials be able to solve each by %3D factoring or any other way of solving to…

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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: Show that (x- 3) is a factor of 2.x3 - 2x2 - 17x + 15. Hence express 2x³ – 2.x² – 17x + 15 in the…

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Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

A: In the given question, it is required to use Intermediate Value Theorem and Rolle’s Theorem.

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

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

Q: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: find the real roots of f(x)=2x^3 - 11x^2 + 2x + 15 and use them to show f(x) in factored form.

A: Roots of f(x) is given below...

Q: If x+3 is a factor of P(x)=3x^3+5x^2-11x+3, find the roots of P(x)

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Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: o three decimal places

A: Let              f(x)=x3-20

Q: 35. By completing the square in the quadratic x² + x + 1 and making a substitution, evaluate dx x² +…

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Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

Q: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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Q: Given that 1 is a double root of q (x)=D4x4-15x3+16x2_ 3x-2, find all roots. All the roots of q (x)…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: The square root property indicates that if x2= k, then x = __________.

A: According to the given information it is required to tell that:The square root property indicates…

Q: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Express as a polynomial.

A: Use the identity x+y2=x2+y2+2xy.

Q: Solve for the root using Bisection, Newton Raphson, and Secant Method 1. 3x³4x²-3x - 2 = 0

A: Given that 3x3-4x2-3x-2=0 Let fx=3x3-4x2-3x-2, then f0=-2, f1=3-4-3-2=-6,…

Q: Every polynomial equation of the nth degree has n real roots Select one: O True O False

A: Given :   Every polynomial of degree of nth degree has two types of roots : Real and Non-real /…

Q: Find the roots of the functionf(x) = (2x−1)·(x2+ 2x−3) withx∈R

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Q: Rationalize the denominator of 5/(square root of 14) - 2

A: We need to rationalize the denominator of

Q: A. by extracting square roots. 1 x2 = 169 2.9b2 = 25 3. (3y- 1)2 = 0

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: Evaluate the square root of 3 + j4 by two methods.

A: We need to evaluate the square root of 3 + j4 by two methods. The solution is given below.

Q: Given that f(x) = 12x' - 32x2 + 3x + 5, obtain signs of f(-1), f(0). f(1), f(3) and deduce that…

A: Given that f(x)=12x3-32x2+3x+5 Let us find the signs of f(-1); f(0); f(1); f(3)…

Q: If s is neative, its square must be

A: Given s is negative  s < 0

Q: Find a real root between 2 and 3 of the equation x³ – 2x² + x – 3 = 0, correct to three decimal…

A: The bisection method is used to find the root of a function. First find two numbers a and b such…

Q: ABCD is a Rectangle 1. If AC = 2x +3 and DB = 4x – 1, find x.

A: It is given that,ABCD is a rectangle. If AC=(2x+3) and DB=(4x-1),then find x.

Q: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

Q: A farmer’s rectangular field has an area that can be expressed as thetrinomial x2 + 2x + 1. In terms…

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Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: Express as a polynomial.

A: .

Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

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Q: Please use the Newton-Raphson Method to find the real root of x + 12x 4x² +50. 2.

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Q: Determine the roots of f(x) = -12- 12x + 18x² - 2.75x³ a. Graphically

A: A. Hint: The given equation is f(x)=-12-12x+18x2-2.75x3. Differentiate the given function with…

Q: The product rule for square roots states that if a and b are nonnegative, then √ab =______.

A:

Q: Sibelle manually counts maclaurin polynomials to sqrt(1+x) of order 1, ... 4. How?

A: Given maclaurin polynomials = sqrt(1+x) We have to find maclaurin series of order 4 Here, n=4

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

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Q: how was the roots of zeros found for this problem?

A: The zeros/roots of a function are the values of x-coordinates of the points, where the curve: y=f(x)…

Q: Given the value of the discriminant, which statement describes the nature of the roots correctly?

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Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically

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Q: Solve the following quadratic equati ons by factorization method

A: II)x+3x-2-1-xx=174

Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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