If 1 is one root of the equation kx⁴ + (2k + 5)x³ + (3 – k) = 0, then the value of k is   A. 1 B. -4 C. -1 D. impossible to determine

Q: 18) Solve the quadratic equation: 2x² + x - 15 = 0 for x. a. 2.5 & 3 b. 0 c. -2.5 & 3 d. 2.5 & -3 e.…

A: given   2x2+x-15=0           2x2+6x-5x-15=0

Q: Factor: =?+6:a+9a² OA (: +3a)* O B. (3a+:)(3a-=) За- O C. Nonfactorable O D. (:-3a)* O E. (: +3a)(=-…

A: A option is correct. Explanation of the answer is as follows

Q: 2. Factor the following equations: a. 5 x² + 20x b. 3 x² - 21x c. -7 x² +49x d. -15 x² -75x e. 8.2…

A: Here are the solutions of the given problems.

Q: The equation is 6n-3, not 6n-1

A:

Q: Which is (are) the root(s) of 64x2−324=0?

A: We will find the roots of the given equation.  We will use (a^2 - b^2) formula in this equation.

Q: 2. Change the fbllowing "factored form" equations, into "standard form." y (x + 4)(x - 7) b. y = (x…

A: Standard form

Q: There are two roller coasters that have cars travelling at the same time. The heights of the…

A:

Q: Find the value(s) of k that will cause the equation 4x2-kx+4=0 to have one real solution.

A: It is given that,4x2-kx+4=0 to have one real solution.We have to find the value of k.

Q: Express as a trinomial. (x – 7)(3x + 2)

A: From the given data:

Q: Which equation has the same solution as x2 + 6x – 20 = -10? O (x – 3)2 = 19 O (x – 3)² = 1 - O (æ +…

A: x² + 6x - 20 = -10 So, x² + 6x = 20 - 10 So, x² + 6x = 10 So, (x² + 2•x•3 + 3²) = 10 + 3² So, (x +…

Q: Complete each step. (3x + 5)(2x – 5) = 3x(2x) (5) + (2x) – 25 = 6x2 + 10x – 25

A: Given:          (3x + 5)(2x - 5)         = 3x(2x) - 3x(5) + 5(2x) - 5(5)         = 3x(2x) - 3x(5) +…

Q: Which choice includes all of the solutions to 2x2 + x – 3 = 0?

A: Given,          The equation is 2x2+x-3=0.

Q: Complete the square of the following quadratic expression -3x² - 24x - 43 y=-3 (x+4)² +5 y = 3 (x +…

A:

Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: Simplify. Give answers using positive exponents. (-3m-1611)-3 (-3m-1611)-³ =

A:

Q: - Factor each of the following expressions and then simplify, if possible. a. x 3x b. x² + x c. x² -…

A:

Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification