A function is shown: f (x) = x² + 2x – 35 - One of the zeros of the function is x = -7. What is the other zero? Solve by FACTORING.

Q: Solve the rational equation. Are there any restrictions? If so, explain why? x2- 6x + 8 x-4 X - 4

A: Add by lcm rule and cross multiply the factors

Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

Q: Find all real solutions of the equation. x2 = 144

A: The given equation is  x2=144.

Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 40…

A: From a rectangular piece of cardboard having dimensions a×b, where, a=10 inches, and, b=40 inches,…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: For max no. of mosquitos, function m(x) should be maximum i.e M(x)= 10x – x2 -i) Differentiate m(x)…

Q: Solve using the zero-factor property: (a) r² – 5x + 6 = 0 (b) –4z² + z = -3

A: Part a,Given,           x2-5x+6=0

Q: Convert the quadratic function g(x)=-4x^2+40x+4 to vertex form by completing the square. Identify…

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Q: rectangle is 3 ft longer than it is wide, and its area is 270 ft2. Use a quadratic equation to find…

A: Given query is to find the length and the width of the rectangle.

Q: Solve for all values of x by factoring. x2 – 2x – 12 = –2x + 4 -

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Q: Find all real solutions of the equation. 0 = x2 - 4x + 1

A: The given equation is 0=x2-4x+1

Q: What value for a will result in an equation with infintely many solutions? a(x + 5) = 3x + 15

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Q: Solve for all values of x by factoring. x² – 7x – 6 = -6

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Q: Solve the polynomial equation x3 – 4x2 + x + 6= 0

A: Firstly we can find all roots by synthetic division method . Synthetic division method can be…

Q: Find the zeros of the quadratic function f(x)= 3x2 + 5x + 1. What are the x-intercepts, if any, of…

A: Given: Find the zeros of the quadratic functionf(x)= 3x2 + 5x + 1. What are the x-intercepts, if…

Q: Solve this quadratic function using the quadratic formula. 2x2 x- 15 0 °{-3, } ° {;, 3}

A: Solve quadratic function

Q: Find the zeros of the quadratic function f(x) = 3x2 + 5x + 1. What are the x-intercepts, if any, of…

A: Given quadratic function is fx=3x2+5x+1. To find the zeroes of the quadratic function and also to…

Q: Find the zeros of each quadratic function by factoring.What are the x-intercepts of the graph of the…

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Q: Use factoring to solve the polynomial equation: (x-1)(x+3)=12

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Q: Solve the equation by factoring. Verify your solution using a graphing utility. x2 - 9 = 0

A: Consider the equation: x2-9=0  ……1

Q: A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after…

A: The maximum height where x=(-b/2a) When the equation in the form  ax^2+bx+c=0 .

Q: Solve the polynomial inequalities using the test point method x' +2x? <15x

A: In test point method, we willl find all the critical points of the given inequality. That means the…

Q: x2-Зх- 18 — 0 x²

A: Given : x2 - 3x -18 = 0

Q: The function x- 2r-6x+22x – 15=0 has how many roots?

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Q: Consider the equation to find the value of x: 2x2+3x-4=0

A: Given,

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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Q: Solve the equation by factoring. Verify your solution using a graphing utility. [ 4(x - 2) / (x - 3)…

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Q: The quadratic function f(x) = x +2x-8 is shown graphed on the grid below. (a) What values of x solve…

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Q: Solve polynomial equation step-by-step: x4-6x3+22x2-30x+13=0

A: To find all the four roots of the given fourth degree equation

Q: The given figure shows that when a football is kicked, the nearest defensive player is 6 feet from…

A: (Note: we are entitled to solve only one question at a time and upto 3 subparts only)  Given: The…

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

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Q: Solve for x by factoring. Must show all work  a) 3x2-12x=0 b) x2+4=-4x c) 3x2-x-10=0

A: (a) We have, ⇒3x2-12x=0⇒3x(x-4)=0         (taking 3x common)∴ 3x=0     and    x-4=0⇒x=0      and…

Q: the quadratic equation x2 + x = 3kx- k2 has two different real roots. find the range of value of k

A: The given problem is to find the range of value of k for which the quadratic equation has two…

Q: Find the zeros of the functions by factoring, then solving for x 1) x +5x +6 2) x² +7x + 10 3) x²+…

A: 1. Given equation x2 + 5x + 6. To find the Zeros of this equation we will put it equal to Zero and…

Q: Briefly discuss the effects of changing the values of a, h and k in the graph of quadratic…

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Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: The solution is as below

Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

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Q: se factoring to solve the polynomial equation: (x - 2)(x + 4) = 7 3,-5

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Q: Solve the equation by factoring. Verify your solution using a graphing utility. x(x - 8) + 12 = 0

A: A quadratic equation of the form x2+ax+bx+ab can be factored as (x+a)(x+b). So write the given…

Q: Find all real solutions of the equation below: x² – 3x + 9 = 0

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Q: Solve the polynomial equation : x3 - 3x + 2 = 0

A: It is given that,x3-3x-2=0 We have to solve the polynomial equation.

Q: Solve the equation by factoring. Verify your solution using a graphing utility. x(x + 4) = 12

A: Given: Solve the equation by factoring. Verify your solution using a graphing utility  x(x + 4) =…

Q: Given the quadratic function x²-8x+12% 3y, find the:

A: We are solving the first three subparts and for the next subpartspost the question again and…

Q: Use the quadratic function h to answer the questions. h(x)=2x^2−4x+7   What is the vertex of the…

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Q: Use the graphical method to solve the equation.

A: Solution:Given   x-9-3x=0To solve the equation by using Graphical methd.

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

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Q: Find all real solutions of the equation. x4 + 64x = 0

A: x4+64x=0 ⇒x(x3+43)⇒x(x+4)(x2-4x+16)                a3+b3=(a+b)(a2-4ab+b2)Now for quadratic equation…

Q: Graph the quadratic function using the vertex and x-intercepts. Show your work and explain the steps…

A: Given quadratic equation, x2+5x-6=0 To graph this equation using vertex and x - intercepts.

Q: Use the graphical method to solve the equation. 2x4 + 4x2 + 1 = 0

A: Given that, 2x4+4x2+1=0

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.