# Algebra II

How do I solve the following problems??
1. Factor: 4x^2-100y^2

2. Factor: 3x^2+27

3. Solve 3x^2+9x=0

4. Solve 12^2+30x=-12

5. 9a(a+1)=4

6. Solve 16x^2=25

1. 👍 0
2. 👎 0
3. 👁 171
1. Hints:

1. Factor: 4x^2-100y^2
use difference of two squares,
(a²-b²)=(a+b)(a-b)

2. Factor: 3x^2+27
the common factor is 3.

3. Solve 3x^2+9x=0
factor and solve:
3x(x+3)=0
therefore
x=0 or x=?

4. Solve 12^2+30x=-12
Factor out the 6, and then factor completely to solve for x:
6(2x²+5x+2)=0
Hint: it's in the form
(2x 1)(x 2)

5. 9a(a+1)=4
Expand, transpose everything to the left, and then factor.
9a²+9a-4=0

6. Solve 16x^2=25
isolate variable:
x²=(25/16)=(5/4)²
and solve for x.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

You invest\$10 and after a period of 3 month your new balance is \$60.by what factor did money increase Increased by a factor of 4 Decreased by factor of 3 Increased by factor of 6 Increased by a factor of 3

asked by Amy on July 8, 2020
2. ### Math

Devon wanted to know if x−3 is a factor of f(x)=x^3+x^2−10x+8. She applied the Factor Theorem and concluded that x−3 is not a factor of f(x), as shown in the following work. f(−3)=(−3)^3+(−3)^2−10(−3)+8=20

asked by kayla on March 13, 2020
3. ### math HELP!!!!!!!!!!

If all the dimensions of a cube are increased by 5 units, how will the surface area change? increase by a factor of 5 increase by a factor of 10 increase by a factor of 25 increase by a factor of 50

4. ### math

solve 6x^3-13x^2+x+2=0 using a graphing calculator. then use your answer to write the given function in factored form. (do not use the factor theorem to factor this.) (6 marks)

asked by Navin on November 25, 2013
1. ### Health

1. A _______ is a part of your life that helps you avoid drug abuse. A. Risk factor B. Peer C. Protective factor D. Stressor •• 2. In terms of drug abuse risk, spending quality time with family members is a A. Family risk

asked by Bailey. A on January 8, 2016
2. ### science help

Two factors which cause global climate change are listed below. Factor 1: Volcanic eruptions. Factor 2: Changes in the amount of Sun’s heat received by the Earth’s atmosphere and surface. Which of these statements is correct

asked by Oscar on March 22, 2016
3. ### math

Solve the mathematical puzzle. Determine the digits of Z from these clues. The fourth digit of Z is the largest prime factor of 35. The first digit of Z is the smallest prime factor of 24, other than 1. The last digit of Z plus

asked by beyonce on April 8, 2020
4. ### math

Write the prime factorization using exponents of each number .Then find the greatest common factor (GCF)of the numbers. 1\24.............. 36.............. 2\21.............. 56.............. Please,,help me.😞 I tried to solve

asked by nnn on September 8, 2015
1. ### algebra

factor x^(n+6) +x^(n+2) + X^n and solve x^2-5x+2/3=0

asked by anonymous on May 2, 2013
2. ### Algebra 2

Examine the polynomial p(x)=6x^3+17x^2−24x−35. Use the Factor Theorem to identify which binomial is a factor of p(x). a.3x+5 b.2x+7 c.x−1 d.2x−7 I thought that 2x+7 was a factor of p(x) but I don't know and I am confused

asked by Rina on March 13, 2020
3. ### Math

LOL I can't figure this out. It should be easy it's been years since I've been in school and my son has no idea. The product of two numbers is 63. Their sum is 16. What are the numbers? Thanks for the help! Let's factor 63. 1 x

asked by Lisa on January 17, 2007
4. ### math

solve the equation x^3-5x^2-4x+20=0 I need a hint on how to solve this Look for the first root by graphical means or trial-and-error. Note that when x=2, x^3-5x^2-4x+20 = 8-20 -8 +20 = 0. Therefore 2 is one root and x-2 is a

asked by jason on July 8, 2007