Chapter 7: Q. 377 (page 898)

Factor Trinomials of the form $x^{2} + b x + c$
$u^{2} + 17 u + 72$

Short Answer

Expert verified

Factor is: $u^{2} + 17 u + 72 = (u + 8) (u + 9)$

Step by step solution

Step 1. Given information

given expression $u^{2} + 17 u + 72$

Step 2. Factor the expression by grouping.

First, the expression needs to be rewritten as $u^{2} + a u + b u + 72$ . To find $a$ and $b$ , set up a system to be solved.

role="math" localid="1647714934406" $a + b = 17 a b = 72$

Step 3. Find a and b

by guessing all such integer pairs that give product 72.

we find,

$a = 8, b = 9$

Rewrite the expression localid="1647716094479" role="math" $u^{2} + 17 u + 72 as u^{2} + 8 u + 9 u + 72$

Step 4. Now factor

$u^{2} + 8 u + 9 u + 72 = (u^{2} + 8 u) + (9 u + 72) = u (u + 8) + 9 (u + 8) = (u + 8) (u + 9)$

Therefore, the factor of the given expression is $(u + 8) (u + 9)$

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Factor Trinomials of the form $x^{2} + b x + c$
$u^{2} + 17 u + 72$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Factor the expression by grouping.

Step 3. Find a and b

Step 4. Now factor

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Factor Trinomials of the form x2+bx+cu2+17u+72

Short Answer

Step by step solution

Step 1. Given information

Step 2. Factor the expression by grouping.

Step 3. Find a and b

Step 4. Now factor

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

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Study anywhere. Anytime. Across all devices.

Factor Trinomials of the form $x^{2} + b x + c$
$u^{2} + 17 u + 72$