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1.) Factor out the GCF. \[16x^7-5x^5+5x^4\]
My answer: \[x^4(16x^3-5x+5)\]
2.) Factor out the GCF:\[60x^2-12xy+28x\] My answer:\[4x(15x-3y+7)\]
3.) Factor by grouping. \[4x^2-8xy-3x+6y\] My answer: \[(4x-3)(x-2y)\]
4.) Factor:\[x^2-x-42\] My answer:\[-6,7\] >>>> I'm thinking I have this down wrong or something.. <<<<
you don't need to solve for x ^^^ -6 and 7 are zero (x-intercept )
4.) Is your answer the zeros?
5.) Which of the following trinomials has a greatest common factor that can be factored out first? \[100x^2+140x+49\] \[9x^2+24x+16\] \[x^2+4x+4\] \[8x^2+16x+8\]
My answer is the last one and @mathway no. My answer for number for as you can see above...
6.) Factor completely. \[1-4x^2\] My answer: \[(1-2x)^2\]
Then you're wrong. (x-6)(x+7) is not equal to the polynomial. You might want to check your signs.
Ok, thought so too!
6)hint apply difference of squares method
6.) Isn't that what I did??
difference of squares \[\huge\rm a^2-b^2 =(a\color{Red}{-}b)(a\color{reD}{+}b)\] one parentheses with negative sign and other one should be positive
\[\huge\rm -4x^2+1\] first take out the negative sign \[\huge\rm -(4x^2-1)\]
So it'd be: \[2x^2-1\]?
that is one of the factor (a-b)
Ohh! Wait. I know what I did wrong.. It'd be: \[(1-2x)(1+2x)\]
Is that right? John I see you spying ;)
well that's right or you can leave it as \[-(2x-1)(2x+1)\] remember we already factor out the negative sign :=)
thanks o^_^o
So the one is a negative then?
i would leave it as -(2x-1)(2x+1) which is same as (-2x+1)(2x+1) |dw:1438901505115:dw|
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