document.write( "Question 87052: Factor the following polynomial completely: \r
\n" );
document.write( "\n" );
document.write( "1. 9y4 + 42y3 + 49y2 \r
\n" );
document.write( "\n" );
document.write( "2. x3 + 6x2 - x – 6\r
\n" );
document.write( "\n" );
document.write( "3. 8x3 + 125\r
\n" );
document.write( "\n" );
document.write( "4. a. Write a polynomial that can be used to represent the product of any 3 consecutive even integers.
\n" );
document.write( "b. Use any 3 consecutive even integers to verify that your polynomial represents the product of the 3 integers.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #63042 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Factor the following polynomial completely: \n" ); document.write( "1. 9y^4 + 42y^3 + 49y^2 \n" ); document.write( "= y^2(9y^2+42y+49) \n" ); document.write( "= y^2(3y+7)(3y+7) \n" ); document.write( "-------------------- \n" ); document.write( "2. x^3 + 6x^2 - x – 6 \n" ); document.write( "(x-1)(x^2+7x+6) \n" ); document.write( "-------------- \n" ); document.write( "3. 8x3 + 125 \n" ); document.write( "= (2x)^3+5^3 \n" ); document.write( "=(2x+5)((2x)^2-(2x)*5+5^2) \n" ); document.write( "=(2x+5)(4x^2-10x+25) \n" ); document.write( "-------------------- \n" ); document.write( "4. a. Write a polynomial that can be used to represent the product of any 3 consecutive even integers. \n" ); document.write( "f(x) = (2x)(2x+2)(2x+4) \n" ); document.write( "----------------- \n" ); document.write( "b. Use any 3 consecutive even integers to verify that your polynomial represents the product of the 3 integers. \n" ); document.write( "Let x= 3 \n" ); document.write( "f(3) = 6*8*10= 480 \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |