A rectangle has an area of A(x) = x² + 8x + 15. If the longest side is 8 feet in length, what is the perimeter? Perimeter = ft

Q: Factor. x² – 4x + 4 -

A: Note the identity : a-b2=a2-2ab+b2

Q: The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?

A: Given:The area of a rectangle is x2 + 4x -12.It is known that, for a rectangle,

Q: To complete the square of x2 - 4x, add______

A: Given x2-4x

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

A:

Q: Solve the polynomial equation 2x4 + x3 - 17x2 - 4x + 6 = 0.

A:

Q: A rectangular prism has a volume of 8x3+14x2+x-2 and a height of 2x+1.Find the expression which…

A: We know that volume = base*height So, base= volume / height=(8x3+14x2+x-2)/(2x+1)

Q: 3x248 93x ン

A: 3x2+8 = 93xx = ?

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

A:

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: help me solve (x^2 - 4x + 8) / (x-2) step by step?

A: Given expression :

Q: Solve the equation V(X + 30) = X +10 %3D

A:

Q: Solve for x. x² + 8x = 7

A: Given, The equation  x2 +8x = 7    We have to solve for x

Q: Find all real solutions of the equation. x4 - x3 - 6x2 = 0

A: Given equation,  x4 - x3 - 6x2 = 0 To find all the real solutions.

Q: What must be added to x2+4/5 x to complete the square

A:

Q: How many solutions does x 3 - 4x + 8 = 0 have?

A: Given expression is x3-4x+8=0

Q: Factor. x² – 6x – 27 -

A: Given expression is                                                x2-6x-27 we have to find factor…

Q: Solve for all values of x by factoring. x2 – 15x + 56 = 0 %3D

A:

Q: Solve the polynomial equation : x4 - x3 - 11x2 = x + 12

A: Using Synthetic division fx=x4-x3-11x2-x-12 fx=1x4-1x3-11x2-1x-12 Here x-4 is a root and dividend…

Q: Harold is tiling a rectangular kitchen floor with an area that is expressed asx2 + 6x + 5. What…

A:

Q: the Solve for by using completing square 2x- 3x -1 =0

A: we have to solve for x by using completing the square 2x2-3x-1=0

Q: x2 +3 2x2

A: The system of equation is given : x2+y2=92x2-y=-6 Apply substitution in system of equation,…

Q: Solve a quardratic expression by factoring x3+18x2+45x=0

A: Firstly, we factor out x from given equation

Q: The perimeter of a square is ( 24x+36). What is the length of each side. Factor x- 4x-12

A: 3) The perimeter of square is the sum of all sides of square which is given by 4x where x is side of…

Q: I need help solving (x^2 - 4x + 8) / (x-2) step by step?

A:

Q: Find all real solutions of the equation. 7x3 - x + 1 = x3 + 3x2 + x

A: To find: The real solution of the equation: Given: The equation is 7x3-x+1=x3+3x2+x. Concept used:…

Q: Find all real solutions of the equation. x5 - 3x2 = 0

A: First, take out the common term from the equation x5-3x2=0. x5-3x2=0x2x3-3=0 Since we know that if…

Q: Factor. x² – 11x + 30 -

A:

Q: -7³ – 2x2 + 5 x4 + x2

A: Given that: The equation is x3- 2 x2 + 5x4 + x2 .

Q: A rectangle has a length of sqrt(x/20) feet and a width of sqrt(x/5) feet. What is the area of the…

A:

Q: Solve for all values of x by factoring. 2 x + 6x + 3 = 2x

A: We have to solve for all values of x by factoring  x2 + 6x + 3 = 2x

Q: How to solve x2+3x+9=0

A: Given the equation is x2+3x+9=0 Here a=1, b=3, c=9  ie., equating with the general equation…

Q: +15x +26 3x-10 If the area of a rectangle in terms of x is and its width is Find the length of 6x2…

A:

Q: Solve for x by completing the square: 7. x2 – x + 1 = 0

A:

Q: 8. Solve for x. 28x - 2 K 18x -2

A:

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: 10. (x² – 2x + 1)e2 dr

A: Integrate function using integration by parts

Q: Solve: |2x – 3| = 11.

A: Given 2x-3=11

Q: Solve using long division and state whether a or b is a factor:      x3 - 7x2 + 13x + 3…

A:

Q: The length of a rectangle is 6 meters less than its width. Express the area of this rectangle in…

A:

Q: Find all real solutions of the equation. x5 + 8x2 = 0

A: To find all the real solution of the equation: x5+8x2=0 Solution: Given equation is x5+8x2=0.…

Q: Factor x° + 4x° – 45 -

A:

Q: Find the real solutions of the equation: (√2x + 3) - (√x + 2) = 2

A: Given equation is 2x+3-x+2=2. To find the real solutions of the equation. Solution: Given equation…

Q: Factor. x² + 3x – 70 -

A:

Q: Find the area of the rectangle below. 3x-4 Зx - 5 O a 9x2 - 27x +20 O b 6x2 -9 Oc 12x 18 - Od 9x2…

A: Correct option (a) 9x2-27x+20

Q: Factor. x2 – 13x + 40 -

A:

Q: For each quadratic equation, decide whether it has two solutions, one solution, or no solutions.…

A:

Q: Factor x + 10x + 21

A: Let f(x) =x²+10x+21 Now we have to factorize f(x).

Q: rewrite in factored form, show your solution. f(x)=x4+5x3+5x2-5x-6

A:

Q: the area of a rectangle is (4x^4-4x^3+15x^2-3x+9) square centimeters its length is (x^2-x+3)cm find…

A: Solve the following

Q: Factor: x2 13x + 12 -

A: SOLUTION-

Polynomials

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