Chapter 6: Q 6.20TI (page 576)

Factor $y^{2} - 16 y + 63$ $x^{2} - 16 x + 63$

Short Answer

Expert verified

The factored form is $(x - 9) (x - 7)$

Step by step solution

Given information

Given the polynomial, $y^{2} - 16 y + 63$

Writing as parentheses

The polynomial can be written as $(x) (x)$ . Now creating the table

Factors of $63$	Sum of factors
$1, 63$	$1 + 63 = 64$
$3, 21$	$3 + 21 = 24$
$- 9, - 7$	$- 9 - 7 = - 16$

Use m,nas last terms of factors and form the factored polynomial

Here

$m, n = - 9, - 7 m + n = - 16 m \times n = 63$

Substitute the values and form the factored polynomial

The factored form is $(x - 9) (x - 7)$

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Factor $y^{2} - 16 y + 63$ $x^{2} - 16 x + 63$

Short Answer

Step by step solution

Given information

Writing as parentheses

Use m,nas last terms of factors and form the factored polynomial

Substitute the values and form the factored polynomial

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Factory2-16y+63x2-16x+63

Short Answer

Step by step solution

Given information

Writing as parentheses

Use m,nas last terms of factors and form the factored polynomial

Substitute the values and form the factored polynomial

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Mechanics Maths

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Factor $y^{2} - 16 y + 63$ $x^{2} - 16 x + 63$