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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 36 (page 498)

In the following exercises, add the polynomials.
$(y^{2} + 9 y + 4) + (- 2 y^{2} - 5 y - 1)$

Short Answer

Expert verified

The sum of the polynomials is $鈭� y^{2} + 4 y + 3$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (y^{2} + 9 y + 4) + (鈭� 2 y^{2} 鈭� 5 y 鈭� 1) \\ Wehavetoaddthepolynomials. \end{array}$

02

Step 2. Add the polynomials

$\begin{array}{l} 鈬� (y^{2} + 9 y + 4) + (鈭� 2 y^{2} 鈭� 5 y 鈭� 1) \\ = y^{2} + 9 y + 4 鈭� 2 y^{2} 鈭� 5 y 鈭� 1 [Rewritewithouttheparenthese] \\ = y^{2} 鈭� 2 y^{2} + 9 y 鈭� 5 y + 4 鈭� 1 [Combinetheliketerms] \\ = (1 鈭� 2) y^{2} + (9 鈭� 5) y + 3 \\ = 鈭� y^{2} + 4 y + 3 \end{array}$

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Most popular questions from this chapter

Multiply (a) $(7.1 脳 10^{- 2}) (2.4 脳 10^{- 4})$ to get answer in decimal form

Divide (b) $\frac{6 脳 10^{4}}{3 脳 10^{- 2}}$ to get answer in decimal form

Find the product of the below expression.

$(p - 3) (p + 3)$

In the following exercises, find the product of ${(9 p + 8 q)}^{2}$ .

Multiply each pair of conjugates using the product of the conjugates pattern.

$(p + \frac{4}{5} q) (p - \frac{4}{5} q)$

Solve the square using the binomial squares pattern.

${(\frac{1}{5} x - \frac{1}{7} y)}^{2}$

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