9a Find the discriminant. Discriminant = 1116 9b Given the value of the discriminant, which statement describes the nature of the roots correctly? The roots are unequal and rational. The roots are unequal and irrational. The roots are not real. The roots are equal and rational.

Q: a) the value of p b) the other roots of the polynomial

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Q: Solve ( y-3 )3 + 56=0 where y is a real number. Write your answer in simplified radical form. ( if…

A: Subtract 56 from both sides.

Q: Determine the three roots of -32/2 - j32/2-32 2 - j322 .

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Q: How many roots does the polynomial equation have? 0 = x2 (x + 3)* (x - 1) Enter your answer in the…

A: The given equation,0=x2x+34x-1

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A: We have to find the roots of the function f(x)=2x4-7x3+21x2-63x+27.

Q: etween which two integers is the square roots listed below? List the smaller number first.

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Q: dy 7. S 7. 1 у2 + уз

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Q: List all possible values that could be roots of the polynomial 4x-23x3-41x² +59x- 18 according to…

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Q: 5 dz 7) S– dz (8z – 1)8

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Q: The poly nomial Complex numbes -1ti is densted by U. Verify thatuis find The oThr Three root Of the…

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Q: Using the intermediate value theorem, show the given function has a solution.

A: Calculation:Simplify the given equation as 2x + 3x – 4x = 0.Consider f(x) = 2x + 3x – 4x.

Q: x²-6x +11=0 The roots are:x = The sum of the roots iS The product of the roots is

A: Answer

Q: implify the expression and express the answer using a rational exponent. Assume that x denotes a…

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Q: (94y-3 – 37y) 3) S dy 32у

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Q: Which lists the possible types of roots for f(x) = 3x4 + 7a + 222 + + 9? Three complex roots and one…

A: Irrational and complex roots always exist in pair.

Q: Cameron tosses up a ball. Its height above the ground after being tossed is given by the equation…

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic…

Q: Solve for q. 49q? - 7 = 0 Write your answer in simplified, rationalized form. 9 = or q = %3D D10

A: Given: 49q2-7=0   ...(1)   As we know from the square root property; If q2=c then q=+c or q=-c

Q: 5. One of the roots of 2x2 – 11x - 21 = 0 is 7. What is the other root? 2 D. 2 С. с. 3 A. - В. - 2 2…

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: -) What is the nature of the roots for y 2x - 5? Use the disc to determine the nature of the roots.

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Q: a. What are the real roots of p(x)? For each real root, is the multiplicity even or odd. Explain…

A: The roots of a function f(x) are the values of x for which the function has a zero value. i.e.…

Q: 6. %3D Determine the number and type of roots of g² + 10 = 3x -3.

A: GIven :  x2 + 10 = 3x -3

Q: 3x + 6 = -6x^2 Please find the discriminant and list the type of root and number of roots

A: Given equation: 3x+6=-6x2     up on rewriting6x2+3x+6=0 We know that for a quadratic equation…

Q: -plete solution. he roots using algebraic - 13x²+36

A: Roots are=2,-2,3,-3

Q: 3m-x 2(x+ m) a Find expressions, in terms of m and n, for the roots of the equation: x +n X-n

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Q: JeY(3y* — 7у3 - 2у? + 11)dy

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Q: (7у - 9)2 dy e 2y 4.

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Q: The discriminant of a quadratic equation is 34. Which of the following is true about its roots? A.…

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Q: 7. What factor would you use to rationalize a denominator of Vx3 ? A. Vr4 В. х4 C. Vx7 D. x7 8.…

A: Rationalising is the process in which the radicals or any surds from the bottom that is from…

Q: 24. Use long division to determine the number of real roots and factor the function as far as…

A: The factors of a polynomial can be calculated using the long division. The division can be performed…

Q: 3) Given the polynomial, state the roots ? 24 20 y=x'- 2x²- 3x 16 12 8 4 -5 4 3 -2 A 1 13 4 4 -8 -12…

A: The roots of a polynomial are the points at which the graph of the polynomial touch the x axis.

Q: -3+√17 8 01 20. Choose the correct answer. Which of the following is a root of the equation 8x² - 6x…

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Q: x4 - 2x2 - 16x - 15 = 0 a. List all possible rational roots.b. Use synthetic division to test the…

A: Root of a polynomial: a) y(x)=x4-2x2-16x-15 The roots of the eqs are  x4-2x2-16x-15=0…

Q: 7h3 dh 5) S 4dh + (5–2h*)® 3h-1

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Q: x^2 + 5x + 3 . could you find roots

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Q: 3. Use Graeffe's Root Squaring Method to determine the real roots of the polynomial equation x3 +…

A: Given the polynomial equation is x3+3x2-6x-8=0

Q: 6 v dv 8) S , 3 a² – v²

A: To find the given integral use the substitution  u = a2 - v2

Q: S In² y dy 6.

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Q: 12 — т6 + Зт4 dm 3m2

A: We will use the general rules of integration to solve this question.

Q: %3D What are the rational roots of x4+ 4x3 - x² - 16x – 12 = 0?

A: Calculate the roots of the given equation and check whether they are rational or not.

Q: 3 7 2) S(9mi – 13m3 + 4m¯i – 16) dm - -

A: we have to evaluate the following integral

Q: Which polynomial expression of fourth degree has the roots x=-3,x%=3,x%= 5i ? A x +16x-225 B…

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Q: Determine the type or nature of roots of the following? (iii) 4x – 2 -3x2 = 0

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Q: Use the discriminant to determine the number of x- ntercepts. y = x² - 4 A) the discriminant is 3)…

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Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x -…

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Q: 54у — 18 1) S 9y2 — 6у + 1. -) dy

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Q: 2) dy 7у2 + 11у4 - 16у5 —3у 3) S 5y-3

A: Given, ∫[(7y²+11y⁴-16y⁵-3)/5y-3)]dy Simplifying the above equation, ∫[(7y²/5y-3…

Q: F(x)=x2+12x+27 What is the y intersecpt What is the root What is the quarterteral

A: y intersecpt if x=0 for finding roots take F(x)=0

Q: 26. Determine the missing leg of the right triangle. If the square root is rational, write it as…

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Q: (Cot – 3Cos - 7)aw 9) S 2 W CSC- 2 0 - 7 )dw

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Q: Determine the type or nature of roots of the following? (ii) 2x2 – 7x + 9 = 0

A: Given,  Quadratic equation: 2x2 - 7x + 9 = 0