Algebra 2

Factor Completly:
3y^2+7y-20
I got (5y+12)(y-1)

  1. 👍
  2. 👎
  3. 👁
  1. You can check your answer by foiling.

    (5y + 12)(y - 1)
    5y^2 - 5y + 12y - 12
    5y^2 + 7y - 12

    That's not our original, so it hasn't been correctly factored.

    3y^2 + 7y - 20
    We know the first part of each bracket because there's only one option...

    (3y )(y )
    Now we have to imagine foiling as we figure this out. The last two numbers multiplied together must equal -20, but 3y*(first number) + y*(second number) has to be 7y.

    For -20, we can have: 5 & 4, 10 & 2, or 20 & 1 (with one of the two numbers being negative).

    As a general rule, usually choose the two numbers that are closest together. In this case, that is 5 & 4.

    (3y 5)(y 4)
    We just have to pick our signs now. We know one must be negative, and one must be positive (because multiplied together, they must equal -20).

    (3y - 5)(y + 4)

    And the check by foiling...
    3y^2 + 12y - 5y - 20
    3y^2 + 7y - 20

    That's our original, so we got it right. It cannot be factored any further.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Greatest Common factors

    I don't know these answers. Can you help me? Greatest common factor in 1.6y^2-9y+18. 2.4x^2y-7xy 3. 30a^3b-40ab^3 4. factor out greatest common factor in 4x^2-12x+20 5. x^4y-6x^3y-6x^2y 4 and 5 are factoring out the greatest

  2. Algebra

    Use the Factor Theorem to determine whether x+2 is a factor of P(x)=2x^4+x^3-3x-9. Specifically, evaluate P at the proper value, and then determine whether x+2 is a factor. P(__)= x+2 is or is not a factor of P(x)____

  3. 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

  4. Chemistry

    I Have Two Questions 1)How would you calculate the number of nanometers in 8.1 cm? 2)What is the equivalent of 0.35 lb in grams? You need to learn to do deimensional analysis. It's easy. 0.35 lb to grams We know there are 453.6 g

  1. 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

  2. Physics

    Suppose that there is a partial blockage of the aorta, which normally pumps about 5 L of blood per minute. If the diameter of the aorta were reduced by 30%, what increase in blood pressure gradient would be needed to obtain the

  3. Pre Calculus

    using the factor theorem to show that x-c is a factor of P(X) for the given values of c, and factor 1. P(x)=x3-5x^2+8x-4; c=1

  4. 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

  1. math

    f(x)=4-x^2 simplify completly. Use difference quotient.

  2. Math

    Use the Factor Theorem to determine whether x-3 is a factor of P(x)=2x^3-5x^-9 . Specifically, evaluate P at the proper value, and then determine whether x-3 is a factor. P(_)=__ also pick which one applies x-3 is not a factor of

  3. math 1350

    Find the three digit number that satisfies the following conditions: . Has a factor of 3. . Has a factor of 5. . Has a factor of 7. . All digits are prime. Describe the thinking process you went through to solve this problem.

  4. Physics

    What happens to the gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer? It decreases by a factor of 1 9/16. It decreases by a factor of 1 1/4. It increases by a factor of 1 9/16. It

You can view more similar questions or ask a new question.