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3 years ago

Factor 2x^3+3x^2-23x-12, given that x+4 is a factor

2 answers:

6 0

Hello,
$2x^3+3x^2-23x-12\\
=2x^3+8x^2-5x^2-20x-3x-12\\
=2x^2(x+4)-5x(x+4)-3(x+4)\\
=(x+4)(2x^2-5x-3)\\
=(x+4)(2x^2-6x+x-3)\\
=(x+4)[2x(x-3)+1(x+3)]\\
=(x+4)(x-3)(2x+1)$

Alex73 [517]3 years ago

5 0

(2x + 1) • (x - 3) • (x + 4)

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10 = 3x – 8 what is this

Margaret [11]

Answer:

Answer is below

Step-by-step explanation:

10=3x-8

always remember to flip the equation

3x-8=10

Add 8 to both sides

3x-8(+8)=10(+8)

3x=18

Divide both sides by 3

3x/3=18/3

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8 0

4 years ago

Read 2 more answers

A number +5 more than three times the number is 37 find the number

xz_007 [3.2K]

Answer: 10 $\frac{2}{3}$

A number: x

Equation: 3x+5=37

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1 year ago

Question 7 of 10

Mama L [17]

Answer:

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real irrational roots

• If b² - 4ac > 0 and a perfect square then 2 real rational roots

• If b² - 4ac = 0 then 1 real double root

• If b² - 4ac < 0 then 2 complex roots

Given

x² + 3x - 7 = 0 ← in standard form

with a = 1, b = 3, c = - 7 , then

b² - 4ac

= 3² - (4 × 1 × - 7) = 9 + 28 = 37

Since b² - 4ac > 0 then 2 real irrational roots

8 0

3 years ago

Given the equation -2x+3y=12, find the missing value in the ordered pair 3, Noo linkss plz

astraxan [27]

Answer:

(3,6)

Step-by-step explanation:

-2x+3y=12

Let x = 3

-2(3) +3y = 12

-6+3y = 12

Add 6 to each side

-6+6 +3y = 12+6

3y = 18

Divide each side by 3

3y/3 = 18/3

y = 6

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3 years ago

What is the factor of 4x^2-16y^2

sweet-ann [11.9K]

4(x+2y) (x-2y)
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3 years ago