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What polynomial must be added to $2 x^{2}-x+3$ so that the $\operatorname{sum}$ is $6 x^{2}-7 x-8 ?$

a) $(x+y)(x-y)$$=x^{2}-y^{2}$b) $(x+y)(x+y)$$=x^{2}+2 x y+y^{2}$C) $(a+b)(c+d)$$=a c+a d+b c+b d$

Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

Polynomials

Campbell University

Oregon State University

McMaster University

Lectures

02:07

What polynomial must be ad…

02:29

01:47

01:31

What polynomial must be su…

01:53

01:32

add the polynomials.$$…

03:35

Complete the table below f…

01:27

00:25

Identify the terms of each…

00:59

01:06

Fill in the blanks to add …

01:30

01:46

01:58

What polynomial, when divi…

02:00

Find the sum or the differ…

00:28

$3 x^{2}-5 x+2$$5 x^{2…

Fill in the missing polyno…

Factor each polynomial.

Consider the polynomial $2…

in this question, we're being asked what polynomial is being that gets attitude. The polynomial to X squared minus X plus tree with the equal to six x squared by the seven x minus A. So if you know this, I kind of wrote this kind of like an equation where I put a blank in for the first Paolino meal that we're looking for plus the two x squared minus X plus tree. And we know that when we add it, two are appalling. Only that we're trying to figure out it should equal to six x squared by the seven x minus eight. So if I almost treat this like an equation, I could subtract my polynomial from both sides to get my blank all by itself. So I'm going to subtract the negative the two x squared minus X plus three to both sides because this pulling a meal will cancel l. So I'll be left with my blank, which is referring to the polynomial that we're looking for is equal to six x squared minus seven x minus C minus the quantity of two X squared minus X plus tree. Well, if you know that this is kind of almost written in vertical form where were subtracting too Polly, No meals. Well, remember when we subtract to Polly no meals. We simply need to change the signs of each two terms in the second polynomial. So the 1st 1 row will be brought down a six X squared minus seven x minus C. And I'm going to change the signs of used to the terms in the second polynomial so that positive two X squared will become negative two. X squared. The negative x will become positive X and a positive three will become negative three. And now I simply need to combine like terms. And then I will find my missing polynomial. So let's start with the first column. We have six X squared minus two Ex word. Well, six minus two is four, so we'll have four x squared. Our next column. We have negative seven next plus X, and keep in mind when you don't see the coefficient, it's an imaginary one. Negative seven plus one is negative. Six. So we have negative six X and our last call Be a negative eight minus three, which is negative left. So our missing polynomial is for X squared minus six x minus 11

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