Complete the factorization of 4x2 – 9.

Mathematics

2 answers:

Nastasia [14]3 years ago

4 0

Your Answer would be:

4x2 – 9 = (2x - 3)(2x + 3)

Hope this helps!

Likurg_2 [28]3 years ago

4 0

Here: Root of 4x² is 2x and of 9 is 3,
So, it would be simply: 4x² - 9 = (2x - 3)(2x + 3)

In short, Your Answer would be: (2x - 3)(2x + 3)

Hope this helps!

You might be interested in

If ABC and GEF are congruent, the value of x is and the value of y is

luda_lava [24]

Answer:

The value of x is 10, and the value of y is 6

Step-by-step explanation:

ABC and GEF are congruent

x - 8 = 2

x = 10

x - y = 4

10 - y = 4

y = 10 - 4

y = 6

Answer

x = 10, y = 6

3 0

2 years ago

Read 2 more answers

How can you get the variable alone in the equation 25? 5 a

WARRIOR [948]

Answer:

Step-by-step explanation:

5x5=25

5xa=25

a=5

5 0

2 years ago

Read 2 more answers

The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term

Darina [25.2K]

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}$

now, let's expand the squared term to get the standard form of the quadratic.

$\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}$