Factoring: GCMF

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Multiple Choice

Factor the polynomial.

$$5x+60x^4$$  

• $$5x\left(1+12x^3\right)$$  

• $$5x\left(12x^4\right)$$  

• $$5x^5\left(x+12\right)$$  

• $$5x\left(1+12x^4\right)$$  

Multiple Choice

Factor the polynomial.

$$12x^5+16x^3$$   

•   $$4x^3\left(3x^5+4x\right)$$  

•   $$2x^3\left(6x^2+8\right)$$  

•   $$4x^3\left(3x^2+4\right)$$  

•   $$6x\left(2x^4+3x^2\right)$$  

Multiple Choice

Factor the polynomial.

  $$6x^2-9x+9$$  

•    $$3x\left(2x-3x+3\right)$$  

•    $$3\left(2x^2+3x+3\right)$$  

•    $$3x\left(3x^2-6x+6\right)$$  

•    $$3\left(2x^2-3x+3\right)$$  

Multiple Choice

The factored form of: $$81x^5-36x^3-18x^2$$   is $$9x^2\left(9x^3-4x-2x\right)$$  

• True.

• False.

Multiple Choice

Factor the polynomial.

   $$50x^3+60x^2-60$$  

•     $$5\left(10x^3+12x^2-12\right)$$  

•     $$10\left(5x^3+6x^2-6\right)$$  

•     $$10x\left(5x^3+6x^2-6\right)$$  

•     $$10x\left(5x^2+6x-6\right)$$  

Multiple Choice

Factor the polynomial.

    $$5x^4-40x^3+10x^2$$  

•      $$5x^2\left(5x^4-8x^3+2x^2\right)$$  

•      $$5\left(x^4-8x^3+2x^2\right)$$  

•      $$5x^4\left(1-8x^2+2x\right)$$  

•      $$5x^2\left(x^2-8x+2\right)$$  

Multiple Choice

Factor the polynomial.

     $$18x^3-24x-21$$  

•       $$3\left(6x-8x-7\right)$$  

•       $$3x\left(6x^2-8x-7\right)$$  

•       $$3\left(6x^3-8x-7\right)$$  

•       $$6x^3-8x-7$$  

Multiple Choice

Factor the polynomial.

      $$36x^7+12x^5+28x^4$$  

•        $$2x^4\left(18x^3+6x+14\right)$$  

•        $$4x^4\left(9x^3+3x+7\right)$$  

•        $$4x\left(9x^3+3x+7\right)$$  

•        $$4x^3\left(9x+3x+7\right)$$  

Multiple Choice

Factor the polynomial.

       $$77x^9-21x^7+49x^5$$  

•         $$7x^5\left(11x^4-3x^2+7\right)$$  

•         $$7x^5\left(11x^5-3x^2+7\right)$$  

•         $$7\left(11x^9-3x^7+7x^5\right)$$  

•         $$7x\left(11x^8-3x^6+7x^4\right)$$  

Multiple Choice

The factored form of:   $$72x^5-72x^3-80x^2$$   is   $$8x^2\left(9x^3-9x-10\right)$$  

• True.

• False.

Multiple Choice

Factor the polynomial.

        $$30x^5+9x^2+24x$$  

•          $$3\left(10x^5+3x^2+8x\right)$$  

•          $$6x\left(5x^4+3x+4\right)$$  

•          $$6\left(5x^5+3x^2+4x\right)$$  

•          $$3x\left(10x^4+3x+8\right)$$  

Multiple Choice

What is the GCMF of...

$$63x^6-49x^5-21x$$  

• $$3x$$  

• $$7$$  

• $$7x$$  

• $$3x^6$$  

Multiple Choice

What is the GCMF of...

$$25x^8-40x^7-15x^3$$   

•   $$5x^2$$  

•   $$5x^3$$  

•   $$5x$$  

•   $$5$$  

Multiple Choice

What is the GCMF of...

$$16x^9-8x^8-20x^7$$    

•    $$4x^7$$  

•    $$4x$$  

•    $$2x^7$$  

•    $$2x$$  

Multiple Choice

What is the GCMF of...

$$24x^9-12x^4-36x^3$$     

•     $$3x^3$$  

•     $$4x^3$$  

•    $$6x^3$$   

•     $$12x^3$$  

Fill in the Blanks

The factored form of $4x\ +\ 2y$  is

.

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The factored form of $15c^2+15cd$  is

.

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The factored form of $24mn-30m^2n^2$  is

.

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The factored form of $18bc^2-24b^2c$  is

.

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The factored form of $ralphcu+ralphe$  is

.

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Confucius