Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(x^2 + 2)(6x^2 - 5)

Step-by-step explanation:

Look at the first term (6x^4) and the third (12x^2).  6x^2 is common to both, as well as to the second term.  We can rewrite the first and third terms as

6x^2(x^2 + 2).  The second and fourth terms can be rewritten as -5(x^2 + 2).  Note that (x^2 + 2) shows up as a factor twice here.  We can factor (x^2 + 2) out of both terms of 6x^2(x^2 + 2) -5(x^2 + 2), obtaining:

(x^2 + 2)(6x^2 - 5)

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)