Question

What would I do in this situation with exponents?:
I have 5x^4(2x^3-3x^2+5x-1) I know that in this case I would multiply the exponents like 4(2) but then once I do that, I end up with 10^12-15x^8+5x^2-5x. What's next?

Answer 1

5x^4*2x^3 = (5*2)*(x^4*x^3) = 10x^(4+3) = 10x^7

So it's actually 10x^7 and NOT 10x^12

You do the same for the other terms

Answer 2

remember to multiply 5x^4 with every term in the parenthesis

Answer 3

so, for a problem like (x^2+4x+2)(x+7) would equal to 11x^2+30x+14

Answer 4

no, right off the bat I know it should be a cubic since x^2 times x = x^3

Answer 5

Can you please explain that problem with steps? I'm having serious trouble with exponents :/

Answer 6

(x^2+4x+2)(x+7)

(x+7)(x^2+4x+2) ... rearrange the terms

x(x^2+4x+2) + 7(x^2+4x+2) ... expand

x*x^2 + x*4x + x*2 + 7x^2 + 7*4x + 7*2 ... distribute

x^3 + 4x^2 + 2x + 7x^2 + 28x + 14 .. multiply

x^3 + 11x^2 + 30x + 14 ... Combine like terms.


So

(x^2+4x+2)(x+7)

expands and simplifies to

x^3 + 11x^2 + 30x + 14

Answer 7

I got x^3+13x^2+42. I'm doing something wrong

Answer 8

look through those steps and you should see where you went wrong

Answer 9

I noticed I'm mostly having trouble with the rearranging and the whole rules of what to do with exponents when adding and subtracting. I know multiplying and dividing I add them,

Answer 10

I know now. Thank you!!!!!!!!

Answer 11

yw