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Subtract $1.7 t^{2}-1.1 t$ from the sum of $-2.7 t^{2}+2.1 t-1.7$ and $3.1 t^{2}-2.5 t+2.3$

$$-1.3 t^{2}+0.7 t+0.6$$

Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

Polynomials

Missouri State University

University of Michigan - Ann Arbor

Idaho State University

Lectures

02:59

Subtract $t^{3}-2 t^{2}+2$…

02:30

Add or subtract as indicat…

00:36

Add$$\left(7 t^{2}…

00:47

Add$$\left(5.3 t^{…

01:35

Add.$$\left(-3 t^{2}-t…

01:09

Perform each indicated ope…

01:01

Subtract.$$\left(4 t^{…

01:45

Divide.$$\left(21 …

01:49

Find the sum of each arith…

01:21

Add or subtract, as indica…

00:32

Add or subtract.$$\fra…

01:48

Add or subtract. Write eac…

00:50

00:40

Factor by grouping.$$<…

02:09

Add or subtract. Write ans…

01:57

Expand.$$\left(2 t+\fr…

00:41

Add or subtract.$$\lef…

Subtract.$$\begin{…

00:23

Subtract.$5 t^{2}+2 t-…

01:25

Add the polynomials.$$…

we're being asked to subtract the polynomial 1.7 t squared, minus 1.1 tea from the some of the polynomial. Lt's negative 2.7 t squared plus 2.1 T minus 1.7 and 3.1 t squared, minus 2.5 t plus 2.3. So what we first need to do is write an expression to represent this problem. Well, there's two key phrases to represent the operations that we need. The first that comes up Is that where you need to subtract this first polynomial from the sum of the second to Polly? No meals. Well, because we're subtracting that first Paul Yunel polynomial from the second to when we go in right this, it's actually going to be written second. So we're going the right the sum of the second to the second and the third Paulino Meals first. So, in other words, will have the quantity of negative 2.7 t squared plus 2.1 T minus 1.7 plus the quantity of 3.1 t squared, minus 2.5 t plus 2.3. And then we'll subtract our first polynomial from this so minus the quantity of 1.7 t squared, minus 1.1 t and now with her in an expression to represent our problem. Now we simply need to simplify. Well, because the 1st 2 palling no meals are being added. We simply need to write these terms out, so we'll have negative 2.7 t squared plus 2.1 t minus 1.7 plus 3.1 t square minus 2.5 t plus 2.3. Now for this last final meal, the one that's gonna subtracted from the 1st 2 We need to change the signs of both for those terms. And then we can drop our Prem theses. So when other words that positive 1.7 t squared will become negative, 1.7 t squared and the negative 1.1 t will become positive 1.1 t and now we simply need to combine life terms. So let's start with the first term. We have negative 2.70 square Well, it's like terms are positive. 3.1 t squared and negative 1.7 t squared. Well, negative 2.7 plus 3.1 is 0.4 and 0.4 minus 1.7 is negative, 1.3. So we'll have negative 1.3 T Square. Our next term is 2.1 t. Well, it's like terms are negative. 2.5 t and positive, 1.1 t well, 2.1 minus 2.5 is negative. 0.4 and negative 0.4 plus 1.1 is positive. 0.7 So we'll have plus 0.7 t. Our next term is negative. 1.7. Well, it's like term is positive. 2.3 well negative. 1.7 plus 2.30 point six. So we'll have positive 0.6. So our final answer is negative. 1.3 t squared plus 0.70 plus 0.6

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Subtract $t^{3}-2 t^{2}+2$ from the sum of $3 t^{3}+t^{2}$ and $-t^{3}+6 t-3…

Add or subtract as indicated.$$\frac{t}{t+7}+\frac{11 t-21}{t^{2}-49}$$<…

Add$$\left(7 t^{2}-3 t+6\right)+\left(2 t^{2}+8 t-9\right)$$

Add$$\left(5.3 t^{2}-6.4 t-9.1\right)+\left(4.2 t^{3}-1.8 t^{2}+7.3\…

Add.$$\left(-3 t^{2}-t+3.4\right)+\left(3 t^{2}+2 t-1.8\right)$$

Perform each indicated operation.Subtract the sum of $9 t^{3}-3 t+8$ and…

Subtract.$$\left(4 t^{3}-t^{2}+6\right)-\left(t^{2}+7 t+1\right)$$

Divide.$$\left(21 t^{5}+3 t^{4}-11 t^{3}\right) \div 7 t^{3}$$

Find the sum of each arithmetic series.$$\sum_{t=19}^{23}(5 t-3)…

Add or subtract, as indicated.$$\frac{10 t+7}{t(2 t+1)}-\frac{2 t+3}{t(2…

Add or subtract.$$\frac{9 t-12}{11 u^{2}}+\frac{6 t+5}{11 u^{2}}$$

Add or subtract. Write each answer in lowest terms. See Examples 2, 3, 4, an…

Add or subtract as indicated.$$\left(5 t^{3}-3 t^{2}+2 t\right)-\lef…

Factor by grouping.$$t^{3}-3 t^{2}-7 t+21$$

Add or subtract. Write answer in lowest terms.$\frac{t}{t+2}+\frac{5-t}{…

Expand.$$\left(2 t+\frac{1}{t}\right)^{7}$$

Add or subtract.$$\left(4 t^{2}+5 t+2\right)-\left(t^{2}-3 t-8\right)$$<…

Subtract.$$\begin{aligned}&5 t^{2}+2 t-6\\&5 t^{2}-3…

Subtract.$5 t^{2}+2 t-6$$5 t^{2}-3 t-9$$\hline$

Add the polynomials.$$\left(2 t^{2}+11 t-15\right)+\left(-5 t^{2}-13…

00:43

Factor.$$x^{2}+10 x+25$$

00:49

Multiply. See Example 6.$$\left(y^{2}-2 y+1\right)(4 y+8)$$

00:30

Find each product. See Example 2.$$(3 n+1)(3 n-1)$$

00:46

Factor.$$m^{3}-343$$

01:08

Use the fact that 1 tablespoon $=3$ teaspoons to write two unitconversio…

00:15

Solve each equation.$$s^{2}=16 s$$

Factor.$$3 v^{2}-42 v+147$$

01:24

Factor. See Example 1 or Objective 1$$x^{2}+3 x+2$$

01:04

Factor.$$64 m^{3} x-8 n^{3} x$$

00:54

Multiply. See Example 6.$$\left(x^{2}+6 x+7\right)(2 x-5)$$