lynmarie503 lynmarie503
  • 16-09-2019
  • Mathematics
contestada

Write the quadratic equation whose roots are 2 and -5, and whose leading coefficient is 4.​

Respuesta :

jimrgrant1 jimrgrant1
  • 16-09-2019

Answer:

4x² + 12x - 40 = 0

Step-by-step explanation:

Given the roots are x = 2 and x = - 5 then

the factors are (x - 2) and (x + 5) and the product

(x - 2)(x + 5) = 0 ← expand factors using FOIL

x² + 5x - 2x - 10 = 0, that is

x² + 3x - 10 = 0 ← multiply through by 4

4x² + 12x - 40 = 0

Answer Link

Otras preguntas

explain the working method of tongue​
What number should be added to 2/8 to -1/12 get ?​
An element has an atomic number of 16. An ion of this element has a 2- charge. How is the ion formed?
g(x) = –2x – 9 What is g(–7)? A. 5 B. –1 C. –5 D. –23
how can i solve that equation
High School Vs. University. Writing
(So my friend asked) Which sentence uses a semicolon correctly? A. The exercises, as in the other instance, took place immediately; and in the arena. B. The cr
Cephalopods dwell in ___. a. ponds b. oceans c. lakes d. rivers
which of the following numbers falls between 2 and 3 on the number line square root of 8 or square root of 12
-x + 5x - 2x + 7 ?? i don’t know the answer