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Anna71 [15]
2 years ago
11

(x+3)(3x² - 5x - 10) multiply polynomial

Mathematics
2 answers:
zmey [24]2 years ago
8 0

Answer:

3x^2  + 4x^2 - 25x - 30

Step-by-step explanation:

<u>Step 1:  Distribute</u>

(x + 3)(3x^2 - 5x - 10)

(x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))

3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30

<u>Step 2:  Combine like terms</u>

3x^3 - 5x^2 + 9x^2 - 15x - 10x  - 30

(3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)

3x^2  + 4x^2 - 25x - 30

Answer:  3x^2  + 4x^2 - 25x - 30

brilliants [131]2 years ago
6 0

Answer:

  • \boxed{\sf{3x^3+4x^2-25x-30}}

Step-by-step explanation:

\underline{\text{SOLUTION:}}

To isolate the term of x from one side of the equation, you must multiply by a polynomial.

\underline{\text{GIVEN:}}

:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}

<u>You have to solve with parentheses first.</u>

:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}

<u>Solve.</u>

\sf{x*3x=3x^3}

x(-5x)=-5x²

\sf{x(-10)=-10x}

3*3x²=9x²

3(-5x)=-15x

3(-10)=-30

<u>Then, rewrite the problem down.</u>

\sf{3x^3-5x^2-10x+9x^2-15x-30}

<u>Combine like terms.</u>

\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}

<u>Add/subtract the numbers from left to right.</u>

-5x²+9x²=4x²

\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}

<u>Solve.</u>

\sf{-10x-15x=-25x}

<u>Then rewrite the problem.</u>

\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}

  • <u>Therefore, the correct answer is 3x³+4x²-25x-30.</u>

I hope this helps! Let me know if you have any questions.

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