edward2235 edward2235
  • 03-04-2020
  • Mathematics
contestada

What is 3x2 + 21x + 18 in factored form?
0
A
3(x + 2)(x + 3)
O
B. 3(x + 6)(x + 1)
0
C. 3(x + 3)(x + 2)
D. 3(x + 1)(x + 2)

Respuesta :

jimrgrant1 jimrgrant1
  • 03-04-2020

Answer:

B

Step-by-step explanation:

Given

3x² + 21x + 18 ← factor out 3 from each term

= 3(x² + 7x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)

The factors are + 6 and + 1, since

6 × 1 = 6 and 6 + 1 = 7, thus

x² + 7x + 6 = (x + 6)(x + 1)

Thus

3x² + 21x + 18 = 3(x + 6)(x + 1) → B

Answer Link

Otras preguntas

how do you now 11/33 is a simplest form
How did the alliances that formed in Europe after world war 2 form an "iron curtain" as described by Winston Churchill in a 1946 speech?
What is the property, transformation, or simplification used in each step of this problem?    x-7=34
The distance of a wave crest from its resting. position is its. out of A. Wavelength B. Amplitude C. Height
What is bigger fraction, 5/6 or 6/7
Predict what happens when zinc is added to water
2 friends want to equally share 4/3 feet of rope.What length of rope should ea friend get?
Type of picture Paul Revere made of the Boston massacre?
how do you now 11/33 is a simplest form
What's another name for vital signs?