In Exercises 23 and 24, find the three factors for the cubic trinomials. 23. x + 5x + 4x 24. x - 9x

Q: Classify -6x5+4x3+3x2+11 by degree.   Is this quintic, cubic, quartic, or quadratic?

A: The degree of the given expression  -6x5+4x3+3x2+11 is  '5' because maximum power of this polynomial…

Q: Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 4. (Use the…

A: Using property of quadratic equations ,

Q: Complete the square: 2? + 3z+ = (x+ 22 – 5x+ = (r- = (x+ %3D

A: Given that:

Q: 21. What value of c would make x2 + 60x +c a perfect square? a. 900 b. 30 C. 250 d. 15

A:

Q: Write an equation (any form) for the quadratic graphed below: 51 4 -5 4 3 2 -1 -2 -3

A: Recall the following. The standard form of parabolas as follows. 1. y-k2=4px-h, if the axis of…

Q: a) What expression must be written on the blank to produce a perfect square trinomial? 4 x2 + 3*+ -…

A: Explanation of the answer is as follows

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: SPECIAL For which values of a and b the expression x°+ ax+ 81 is a perfect square trinomial? Rewrite…

A: Detail solution written below

Q: In Exercises 61-66, solve each quadratic equation by the square root property. 61. 3x? = 27 62. 5x?…

A: The square root method is generally used on equations that have the form ax2=c or ax+b2=c.   61. The…

Q: Thank you Using completing the square, factorize 1. 3x2 – 12x + 5 = 0

A: Note: Hello User, As per company policy we need to answer only for 1 question, kindly please post…

Q: simplify the perfect square √121x^14y^6

A: Simplify 121x14y6we know that 121=11x11=112121x14y6=112x14y6                 =112(x7)2(y3)2…

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: In Exercises 39-47, factor each trinomial completely, or state that the trinomial is prime. 39. x? +…

A: We have to factorize the trinomials: 39.  x2+8x+1540.  x2+16x-8041.  x2+16xy-17y2 Factorizing the…

Q: I am stuck on 82

A: To find the solution of  the given equation.            7k2 – 9k – 10 = 0

Q: A man with 200 ft. of fencing material wishes to fence off an area in the shape of a rectangle. What…

A: Given, Length of fencing =200 ft We have to find the dimension of the of rectangle such that its…

Q: 3. Can a perfect square leave a remainder of 3 when divided by 7? Justify your answer.

A: consider m be an integer. If a  divides m  then it can be written as a|m

Q: 17. Factoring is a technique that always works when solving quadratic equations. True False

A:

Q: 7. -2x2 + 28x - 91 = 0 %3D

A:

Q: 니rat aort 25 4,2

A: Given,          4r2+20r+25

Q: 12. When determining the equation of a quadratic explain how you know when to use each form: -.…

A: To write about when to use vertex form and when to use factored form.

Q: Determine the value of bb so that 4x^2+bx+49is a perfect square

A:

Q: 4. Find (Ā * B).Č, if Ā = (1,1,1), B = (2,2,2), Č = (3,3,3). 5. Solve the cubic equation by trial…

A: Since the question number is not mentioned question 4 is solved here. Given : A→=(1,1,1) ,B→=(2,2,2)…

Q: 5, What number should be added to both sides to 6x 2. Given the equation x complete the square?…

A: Here we need to make LHS, perfect square.

Q: Find the measure of 4x. 132° m4x=°

A:

Q: 2

A: Given: b2 +b-2 To find: The factors of the given quadratic function.

Q: Determine the value of b so that 4x^2+bx+49 is a perfect square

A:

Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: 4x2 + 3x – 3 = 0

A:

Q: What is the vertex of the quadratic equation below? y = -x² + 4x + 3 O (4, 3) O (3, 4) O (2, 7) O…

A: The quadratic function is given by y =-x2+4x+3 To evaluate : The vertex of the quadratic equation.

Q: 13. Write an equation in standard form for the quadratic function. [2] -4- -12

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: 5. a2 + 3a + 2

A: Given, quadratic form is  a2 + 3a +2  Now, 3a is to be factorised in such a way that common term can…

Q: MULTIPLE CHOICE QUESTION Which is NOT a perfect square trinomial? 16x2 - 9x + 24 ne 4x2 + 12x +9 |…

A: We have given a trinomial.  We have to find out which trinomial is not a perfect square.

Q: 3x²+2x-8

A: Answer

Q: 5. Write a quadratic equation in standard form that has solutions of x = -6 and x = 7.

A: We have to write the quadratic equation in standard form that has solution of x = -6 and x = 7.

Q: In Exercises 36–38, factor by grouping. 36. x3 - x? - 2x + 2 37. ху — Зх — 5у + 15 38. 5ах — 15ау +…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which step can be used when solving x- 6x- 25 = 0 by completing the square? Explain Your Answer 1)…

A: Let's find.

Q: Factor Completely. When typing answer, use lower case variables and DO NOT USE ANY SPACES. 3x? — х —…

A: Given 3x2-x-2

Q: -1] -4 6. 8. X2 %3D 10 12 14 X3 3. 2.

A:

Q: rekhak Day 9 HW 2. Consider these quadratic expressions. ii) x2 +6x + 8 i) 2x27x+ 6 a. For each…

A: (a) Sketch rectangles which represents the given quadratic equation as its area as follows.

Q: 1. Use the worked example to write a quadratic equation that passes through.the points (-1, 5), (0,…

A:

Q: Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which are the solutions to the quadratic equation (z+3)² = 36? %3D O x = {-6, 6} O = {3, 6} O x=…

A:

Q: 5.Use the table below to write a Quadratic Equation -1 01 -5 0 -5 -4 -3 -2 X y | 0 -5 -8 -9 -8

A: Let f(x) be the quadratic equation.  From the table, it is clear that -5 and 1 are its only roots.…

Q: 13) 15) S-60-20t

A:

Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 2. (Use the…

A:

Q: 7 Input the correct values into the quadratic formula below: 4x² + 3x - 2 = 0 - b ± √b² 4ac…

A:

Q: 2. Explain how to find the area of the shaded region in the figure, if the length and the width of…

A: We will solve the following

Q: 6. In the quadratic formula, the expression in the radical, b² – 4ac, is known as the discriminant.…

A: b2-4ac is known as discriminant