Factor the polynamial completely. Px) - + 40 KN) - Find all its zeros. State the multiplicity of each zero. (Order your answers from smalest to largest rnal, followed by complex answers ardered smallest to largest real part, then smallest to largest imaginary part.) with multiplicity I with multiplicty

Q: If -5 is a root of the quadratic equation 2x2+px-15 = 0 and the quadratic equation p(x2+x)+k=0 has…

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Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got…

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Q: Given P(x) = 3æ° – 5x + x° – 23x? – 44x – 12, and - - - that 2i is a zero, write P in factored form…

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Q: Use the discriminant to determine how many and what kind of solutions the quadratic equat 2x – x = -…

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Q: Given the equation  5x2 = 6x + 18 determine : Draw a neat sketch of the quadratic

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Q: Using the quadratic formula, the roots of 2z? – 7z +1= 0 are: O 41+ 4 7 O 41+ 7 4 O 4+41 7 O 7+41 4

A: use quadratic formula for finding the solution.

Q: Which quadratic has zeroes of 5 and 5/2  A) (q + 5)(5q + 2) B) (q - 5)(2q - 5) C) (q - 5)(5q - 2)…

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Q: What value of c would make this a perfect square? x2 + 8x + c 16 O 4 O 2 24

A: We can solve the answer as given below

Q: Solve the proble m. 13) Find m so that x + 4 is a factor of 5x3 + 18x2 + mx+ 16

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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: sider the following quadratic form on R²:

A: Given the quadratic form on R2:                 Q(x)=-4617x12+2917x22+4017x1x2

Q: Find the roots using the quadratic formula. Express answer as exact values. 9x2 — 8х — 3 %3D0

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Q: Given P(x)=3x^5−14x^4+96x^3−360x^2+525x−250and that 5i is a zero, write P in factored form (as a…

A: Given, P(x)=3x5-14x4+96x3-360x2+525x-2505i is a zero⇒-5i is all a zero of p(x)Since 5i is a complex…

Q: What value of c would make this a perfect square? x2 - 12x + c O 12 -6 O36

A: I have provided answer in step2.

Q: Given that (k + 5)x² - 10x + 2kx = 9k is a quadratic equation, find the value(s) of the constant k…

A: Solution:-   for real roots discriminant is zero.

Q: 6. Use the Discriminant to determine how many real zeros exist for the quadratic equation 3x + four…

A: answer is option A.)   explanation is given in below step

Q: The number of zeros of the polymomial x? + 2x + 3 in Z, is: None 4 1

A: Number of roots of a polynomial

Q: 니rat aort 25 4,2

A: Given,          4r2+20r+25

Q: have a positive integer. If it is added to its square, the result is 42. What is my positive…

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Q: Solve for x. 646x+3 2 x+35x-2 %3D If there is more than one solution, separate them with commas. No…

A: Solve for x  646x+3 = 2x2+35x-2

Q: (b) Use the three-digit rounding (and the method of rationalization if appropriate) to express the…

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Q: 2a) would removing get from the resulant quadratic, equations roving get from the resulant…

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Q: Use the quadratic formula to solve for x. 9x+ 5x–1=0 (If there is more than one solution, separate…

A: We have given equation 9x2+5x-1=0 Then, comparing this ax2+bx+c=0 we have a=9,b=5,c=-1 Now, using…

Q: 1. State the zeros of each by first rewriting the equation in factored form: a) y= x² - 6x – 16 b) y…

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Q: Use the values of a, b and c of each of the following quadratic equations in determining the sum and…

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Q: Verify that the quadratic form ax2 +bxy +cy?is the same as b a 2 || x | [x y] b y 1/27

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Q: Solve for w 3square root of 11w-2 =4

A: Given,

Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: Use the daiscriminant to determine whether the quadratic equation has two equal real number…

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Q: 6. Use the Discriminant to determine how many real zeros exist for the quadratic equation - 3x +…

A: The nature of solution of quadratic equation ax2+bx+c=0 can be calculated using the discriminant…

Q: Develop a C program that computes the different roots in a quadratic equation, ax + bX²=0. r = -b ±…

A: we need to compile a C program in order to find the roots of a quadratic equation

Q: Find the value of m so that the quadratic equation mx (x-7)+49 = 0 has two equal roots

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Q: Find the discriminat -4ac, and the determine whether one real-number solution, two different…

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Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

A: Use the discriminant to determine whether the quadratic equation has two equal real number…

Q: When factoring to reveal the roots of the equation + 212 – 9x – 18 = 0, which equations can be used?…

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Q: The area of a rectangular patio is 3x^2+17x+20ft^2. Which of the following could be dimensions of…

A: Given area of rectangular patio,  (3x2 + 17x +20)ft2 To find the dimensions of the patio.

Q: Find the dimensions of the rectangle of the largest area that can be inscribed in a circle of radius…

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Q: Write the missing term to make each of the following a perfect square trinomial. 1. 25x + 4y? 2. x?…

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Q: You are neob allowed to use (-b,f X you must etitaer copmplete 2a the Square oh ase the roots to…

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Q: Factor completely over the real numbers and graph each of the following. Be sure to label all x- and…

A: Given,        y=x4-11x2+28                         ...(1)

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

A: 18. The given polynomial is 8x3-21x2+6=0. Take the polynomial in the above equation as…

Q: In finding a real root of the equation x^3 - x - 10 = 0 by bisection, if the root lies between x0 =…

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

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Q: Provided that the roots of a quadratic equation, 12x^2 - 24x -65 = 115 are a and b respectively.…

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Q: Find all (complex) zeros of P(x) = x4 – 5a³+ 2x2 – 10x. Write P in factored form. (Hint: factor by…

A: Given, Px=x4-5x3+2x2-10x To find, Zeros of the P(x).

Q: If a and 3 are the roots of the quadratic 3x2 – 4x + 6 = 0, find the value of

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Q: b) The polynomi al PGX) =x"+mx²+42x²+nx+65, where m and n are real, has zeros 3+2i and 1-i. :) Write…

A: Kindly note that there is misprint in question which is mentioned at the end of solution.

Q: By completing the square i. x² + 8x – 65 = 0 - i. x² + 12x + 19 = 0 i. 4x2 + 24x – 21 = 0

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.