Question

Subtract the given polynomials. $(5 x-3)-(2 x+4)$

   Subtract the given polynomials.
$(5 x-3)-(2 x+4)$
Calculus for dummies: 1,001 calculus practice problems
Calculus for dummies: 1,001 calculus practice problems
Patrick Jones 1st Edition
Chapter 1, Problem 88 ↓
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Subtract the given polynomials. $(5 x-3)-(2 x+4)$
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Transcript

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00:01 Being asked to subtract the two given polynomials.
00:03 So the first thing we have to do is get all of the terms out of the parentheses.
00:07 Notice there's nothing in front of the first set of parentheses, so we just have to bring each of these terms down, 5x to the 4 minus 6x to the 3rd plus x squared plus 5.
00:17 However, in front of the second set of parentheses, we have a negative sign.
00:21 That needs to get distributed to each term in the second parenthesis.
00:25 But remember, distributing a negative sign just means you have to change the sign of each term.
00:30 So the positive x to the third becomes negative x to the third.
00:34 The positive 11x squared becomes negative 11x squared.
00:38 Positive 9x becomes negative 9x, and negative 3 will become positive 3.
00:43 Now we just have to combine late terms.
00:46 Well, the first term, 5x to the 4, doesn't have a late term.
00:49 So we'll just bring that down.
00:52 Next, for the x to the 3rd, we have negative 6x to the 3rd minus x to the 3rd...
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