3. Find all values of k so that the trinomial is a perfect square. /2A] 9x? + kx + 16

Q: What is the intermediate step in the form (x + a)? = b as a result of completing the square for the…

A:

Q: What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the…

A:

Q: How many inflection points can a: (a) quadratic polynomial have? (b) cubic polynomial have? (c)…

A: fx be a qudratic polynomial .⇒f''x=constant xtherefore a quadratic polynomial never has any…

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

A:

Q: Complete the square in the quadratic function f given byf(x) = 2x2 - 6x + 4

A: To complete the square in the quadratic function f.

Q: The square root of 29 is between which two integers

A: Simplification

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: Verify that the quadratic form ax? +bxy +cy²is the same as - [x y]

A:

Q: Find the solutions of the quadratic by factoring. SHOW ALL OF YOUR WORK. 2.x-7x 15 = 0

A:

Q: 5. 7. Determine the vertex and the equation of the axis of symmetry of the quadratic relation y =…

A:

Q: The equation 52 = 6 – 13z is in quadratic form. O True False

A: True

Q: The quadratic form Q(x) = 3x,² + 7x22 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

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: - Classify the quadratic forms below. 9(x1)? - 8x1x2 + 3(x2)? b. -5(x,)² + 4x,x,- 2(x,)2 a.

A: Here is the solution of the given problem. Quadratic Forms:

Q: is (x + 8)2  a perfect square

A:

Q: A D 4) Find the square root. 24z O 2zvő O 4zvő

A:

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

A:

Q: 13. Which of the following are NOT perfect square trinomials? Pick all that apply. A) y = x² + 2x +…

A: The possible trinomials are

Q: Complete the square to form a perfect-square trinomlal. x2+12x The perfect-square trinomial is

A: We have to complete the square to form a perfect - square trinomial x2 + 12x

Q: Q2/ Find L- }, by completing square. s2+

A:

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: Find k in the equation 4x2 + kx + 1 = 0 so that it will only have one real root.

A: A detailed solution is given below.

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 vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

A:

Q: 2. Which of the following shows a quadratic has zero at -4? A. B. x2+5x+4 = 0 y -3 1.75 -4 -9-8- -6-…

A: Zeroes of a function : Where a function equals the value zero (0).

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

A:

Q: 19. What is the largest possible value of the quadratic form 5x + 8x3 if x = (x1, x2) and x"x = 1,…

A: We use the fact mentioned in solution.

Q: If a and B are the zeros of the quadratic polynom ial f(x)= 2x²- 5x + 7, Find a polynom ial whose…

A:

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0…

A:

Q: m and m + 8, find the value of k. 7 Given the roots of the quadratic trinomial 3x + 2x + k are

A:

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: 7. Rewrite by completing the square (a) x^2+x+1 (b) 2x^2-12x+11

A:

Q: 11/15 Correct P(x) = 4x4 – 20x³ + 15x² + 5x – 4 e quadratic formula, if necessary, to identify the…

A: In this question we will use basic of polynomial function i.e finding zeros of the polynomial. We…

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: Show that If 2 is a root of  kx4 - 11x3 + kx2 + 13x + 2 Then K = 3

A: Given,          2 is a root of kx4-11x3+kx2+13x+2 then k=3.

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: The Pythagorean Theorem states that the square of the ________ is equal to the ______of the squares…

A:

Q: Solve the following perfect square trinomial by factoring. 49x2 + 84x + 36 = 0 O x= - O x= - $, § O…

A: The detailed solution is given below Thank you

Q: What is the intermediate step in the form (x + a)? = b as a result of completing the square for the…

A: Given :                 x2 - 18 x = -117 To find :                  The intermediate step

Q: b) Find all the roots of x3+7x²+7x+1%3D0

A: First find the one root by hit and trial method then using long division form the quadratic and…

Q: 19. What is the largest value of the quadratic form 5(x,)? - 3(x2)² if x²x = 1. 20. What is the…

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Q: The quadratic cquation can be generalized as ax²+bx+c = 0. Show that the value of x in tems of a, b…

A:

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: 1) What could be added to each expression to make it a perfect square? 1) a +12x 2) z2-6z+1 3) 2…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…

Q: Find x so that the distance between (−4, 5) and (x, 3) is  the square root of 29

A: