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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 234 (page 1069)

In the following exercises, factor completely.
$8 x^{2} - 9 x - 3$

Short Answer

Expert verified

The given trinomial is prime and has no factors.

Step by step solution

Step 1. Given Information

The given expression is $8 x^{2} - 9 x - 3$

Step 2. Calculation

We will use the middle-term splitting method to find the factors.

But on simplifying the expression, there are no factor pairs whose sum is 9.

Thus, the trinomial is prime.

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Most popular questions from this chapter

In the following exercises, factor the greatest common factor from each polynomial.

$21 p q^{2} + 35 p^{2} q^{2} - 28 q^{3}$

In the following exercises, convert each number to decimal form.

(a) $- 8.3 \times 10^{2}$ (b) $3.8 \times 10^{- 2}$

In the following exercises, simplify each expression using the properties for exponents.

$ⓐ q^{27} \cdot q^{15} ⓑ 5^{x} \cdot 5^{4 x} ⓒ 9 u^{41} \cdot 7 u^{53} ⓓ c^{5} \cdot c^{11} \cdot c^{2}$

Simplify each expression:

$ⓐ \frac{y^{43}}{y^{37}} ⓑ \frac{10^{15}}{10^{7}} ⓒ \frac{m^{7}}{m^{15}} ⓓ \frac{9^{8}}{9^{19}}$

Simplify the complex rational expression by LCD:

$\frac{\frac{1}{4} + \frac{3}{8}}{\frac{1}{2} - \frac{5}{16}}$

See all solutions

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In the following exercises, factor completely.
$8 x^{2} - 9 x - 3$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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In the following exercises, factor completely.8x2-9x-3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely.
$8 x^{2} - 9 x - 3$