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? asked in Education & ReferenceHomework Help · 1 decade ago

math help.Simplify the polynomial below?

homework question. please right how you got the answer.(steps)

Simplify the polynomial below.

–3x(7x − 4) + 6x − (13 − 24x 2)

a. 3x 2 + 18x − 13

b.–24x 2 − 15x − 17

c .–24x 2 + 10x − 17

d. 3x 2 + 18x + 13

4 Answers

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  • 1 decade ago
    Favorite Answer

    Hey there. Polynomials sure are fun, aren't they...

    Ok, so the first step you want to do is simplify the -3x(7x-4). That's as easy as multiplying the -3x with the numbers inside the parentheses: -3x(7x) - (-3x)(4) = -21x^2 - (-12x)... -21x^2 + 12x. Next multiply the -1(13-24x^2) = -13 + 24x^2.

    So putting all that together you get -21x^2 + 12x + 6x - 13 + 24x^2 = 3x^2 + 18x - 13.

    The answer is: 3x^2 + 18x - 13. Choice a.

  • 1 decade ago

    –3x(7x − 4) + 6x − (13 − 24x 2)

    DISTRIBUTE THE NEGATIVE − (13 − 24x 2) (BECAUSE most people forget about the negatives)

    -21x2 +12x + 6x -13 +24x2

    COMBINE LIKE TERMS/ Put in Decreasing order

    so 3x2+18x-13

    answer is A

  • 5 years ago

    determination one: X² - 36 shop in thoughts the formulation: AX²+BX+C imagine of foil. the first situations the first supplies the first. ( x + ? ) ( x + ? ) see X situations X supplies X². now the most suitable situations the most suitable supplies the most suitable.... although the elements upload mutually to grant you the middle.... what supplies to 0, yet multiplies to -36? answer: -6 and six so.... ( x - 6 ) ( x + 6 ) -6 + 6 = 0 -6 situations 6 = -36 Checking... ( x - 6 ) ( x + 6 ) = X² + 0X - 36 = X² - 36 ( x - 6 ) ( x + 6 ) is your answer! determination 3: 4b² - one hundred next, get A to equivalent a million, by making use of dividing by making use of four: 4 ( b² - 25 ) now do as previously: 4 ( b + ? ) ( b + ? ) what supplies to 0, yet multiplies to -25? answer: -5 and 5 4 ( b - 5 ) ( b + 5 ) Checking.... 4 ( b - 5 ) ( b + 5 ) = 4 ( b² - 25 ) 4b² - one hundred your answer is 4 ( b - 5 ) ( b + 5 )! determination 5: -2x² + 32 divide the equation by making use of -2 so that you get A to equivalent a million: -2 ( 1X² - 16 ) -2 ( X² - 16 ) next do as previously: -2 ( X + ? ) ( X + ? ) what supplies to 0 and multiplies to -16? answer... -4 and four you answer is -2 ( X + 4 ) ( X - 4 ) ! determination seven: y² + 24y + one hundred 44 ( y + ? ) ( y + ? ) what supplies to 24 and multiples to at least one hundred 44? answer... 12 and 12 your answer is ( y + 12 ) ² determination 9: 25w² - 20w + 4 now... cut up up -20w: 25w² - 10w - 10w + 4 now watch... 25w² - 10w + 4 = 5w ( 5w - 2 ) -2 ( 5w - 2 ) = ( 5w - 2 ) ( 5w - 2 ) is your answer! determination 11: -18a² - 12a - 2 watch heavily.... -18a² - 6a -6a - 2 = -6a ( 3a + a million ) -2 ( 3a +a million ) = ( -6a - 2 ) ( 3a + a million ) is your answer!

  • 1 decade ago

    3x^2 +18x -13

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