Chapter 7: Q. 7.120 (page 871)

Factor completely: $8 x^{2} - 18 x + 9$ .

Short Answer

Expert verified

The factors for $8 x^{2} - 18 x + 9$ are, $(2 x - 3) (4 x - 3)$ .

Step by step solution

Step 1. Given information

$8 x^{2} - 18 x + 9$ .

We need to find the factors for the given expression.

Step 2. Let us use the trial and error method to find the factors.

8 x^{2} - 18 x + 9

Possible Factors	Product
$(2 x - 3) (4 x - 3)$	$8 x^{2} - 18 x + 9$
$(8 x - 3) (x - 3)$	$8 x^{2} - 3 x - 15$
$(x - 9) (8 x - 1)$	$8 x^{2} - 73 x + 9$
$(8 x - 9) (x - 1)$	$8 x^{2} - 17 x + 9$
$(4 x - 9) (2 x - 1)$	$8 x^{2} + 14 x + 9$
$(2 x - 9) (4 x - 1)$	$8 x^{2} - 38 x + 9$

From the table, the obtained factors are, $(2 x - 3) (4 x - 3)$ .

Step 3. Let us check the answer.

Multiply the obtained factors.

$(2 x - 3) (4 x - 3) = (2 x . 4 x) + (2 x . (- 3)) + ((- 3) . 4 x) + ((- 3) . (- 3)) = 8 x^{2} - 6 x - 12 x + 9 = 8 x^{2} - 18 x + 9$

which is correct.

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Factor completely: $8 x^{2} - 18 x + 9$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

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Factor completely:8x2-18x+9.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Let us use the trial and error method to find the factors.

Step 3. Let us check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Decision Maths

Discrete Mathematics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Factor completely: $8 x^{2} - 18 x + 9$ .