i believe your equation is this...
x4 - 7x3 + 10x2
just take out everything that is the same. you can not take out any numerical values. you can only take out the variables. so take out 2 x's
x2(x2 - 7x + 10)
this is the factored form. to put it back into the form you originally had just multiply the x2 by each term inside the parenthesis.
Note: in case you didn't know x2 is the same as x multiplied by x which means you have 2 x's. Also, x3 is the same as x times x times x since you have three x's. And x4 is the same as x times x times x times x since you have four x's. And this can be done for x5 x6 ... and so on.
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(5x - 4)(2x + 3)
4x3+10x2+2x+5= (2x+5)(2x2+1)
10x2 - 20xz + 15xy = 5x (2x - 4z + 3y)
(10x + 3)(x - 1)
To factor: 10x2 + 27x - 28 Find two values that add up to 27, our middle coefficient, and which multiply to make -280, the product of the other two coefficients. In this case, those two values would be 35 and -8. Now break the middle term down with those two values, and factor: = 10x2 + 35x - 8x - 28 = 5x(2x + 7) - 4(2x + 7) = (5x - 4)(2x + 7)