Question

Identify the factors of 4x^2 + 20x + 25.

(4x + 5)(x + 5)

(4x - 5)(x - 5)

(2x + 5)(2x + 5)

(2x - 5)(2x - 5)


This is A right?

@gowtham89

Answer 1

Nope!

Answer 2

Then C?

Answer 3

Since we have 2 positive signs, let's rule out any of our options with negatives.

B and D it can't be.

So let's FOIL out A and C

Answer 4

A gives us a +25 in the middle, so yep, it's C!

Answer 5

4x^2 + 20x + 25

This fits the form a^2+2ab+b^2
Rewrite it where a=2x and b=5

(2x)^2+2(2x)(5)+(5)^2

2 Apply this rule: a^2+2ab+b^2=(a+b^)2

(2x+5)^2 or (2x+5)(2x+5)

Answer 6

x is -5/2

Answer 7

Solve for x over the real numbers:
(2 x+5)^2 = 0
Eliminate the exponent.
Take the square root of both sides:
2 x+5 = 0
Isolate terms with x to the left hand side.
Subtract 5 from both sides:
2 x = -5
Solve for x.
Divide both sides by 2: then u ll get x=-5/2

Answer 8

Identify the factors of 4x^2 + 20x + 25.

(4x + 5)(x + 5)

(4x - 5)(x - 5)

(2x + 5)(2x + 5)

(2x - 5)(2x - 5)

Answer 9

use FOIL fformula to check which one of them is the factorization
\(\large
(\overbrace{\overbrace{\color{orange}a
+\underbrace{\color{cornflowerblue}b)(\color{seagreen}c}_{\text{Inside}}}^{\text{First}}
+\color{brown}d}^{\text{Outside}})
=\overbrace{\color{orange}a\color{seagreen}c}^\text F
+\overbrace{\color{orange}a\color{brown}d}^\text O
+\underbrace{\color{cornflowerblue}b\color{seagreen}c}_\text I
+\underbrace{\color{cornflowerblue}b\color{brown}d}_\text L\\
\qquad\quad \underbrace{\qquad\qquad}_{\text{Last}} \)

Answer 10

Solve for x over the real numbers:
(2 x+5)^2 = 0
Eliminate the exponent.
Take the square root of both sides:
2 x+5 = 0
Isolate terms with x to the left hand side.
Subtract 5 from both sides:
2 x = -5
Solve for x.
Divide both sides by 2: then u ll get x=-5/2

Answer 11

@BassCatcher15 that is the same question?

Answer 12

Im sorry. It must not have highlighted. Hang on

Answer 13

Guys this isn't solving for x this is Identify the factors

Answer 14

@gowtham89

Answer 15

Factor completely: -7x^2 + 14x - 21

-1(x^2 - 14x + 21)

-7x(x^2 - 2x + 3)

-7(x^2 + 2x - 3)

-7(x^2 - 2x + 3)

Answer 16

7 x^2+14 x-21
Factor out the greatest common divisor of the coefficients of -7 x^2+14 x-21.
Factor -7 out of -7 x^2+14 x-21:
then answer is
| -7 (x^2-2 x+3)

Answer 17

Factor completely: 6x^4y^3 + 21x^3y^2 - 9x^2y

3xy(2x^3y^2 + 7xy - 3x)

3x^2y(2x^2y^2 + 7xy - 3)

3x^2y^3(2x^2 + 7xy - 3)

3x^2y(2x^2y + 7xy - 3y)

Answer 18

@gowtham89