Write an equation in which the quadratic expression 2x^2 – 2x –12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

ANSWER

The x-intercepts are (-2,0) and (3,0)

EXPLANATION

The given quadratic expression is

We equate this to zero to get:

Divide through by 2 to get,

This implies that,

This means that the graph of

meets the x-axis at x=3 or x=-2

Step-by-step explanation:

2x^2 - 2x - 12 = 0

by using the factoring method (or any other method of your choice for quadratic equations), you can express the above as:

(2x-6) (x+2) = 0

This means that either,

(2x-6) = 0  or (x+2) = 0

Working out the above 2 linear equations gives the possible solutions for x as x = -2 or x = 3

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)