Multiply: X - X – 6 . x² + x – 6 x² – 4 x2 – 9 To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any common factors can be removed. We want to give the result in simplified form. x² – x – 6 . x² + x – 6 x2 - 9 x² – 4 (x2 – x – 6)(x² + x – 6). (x2 – 4)(x² – 9) (x – 3)(x + 2)(x + 3)(x – 2). (x + 2)(x – 2)(x + 3)(x – 3) Multiply the numerators. Multiply the denominators. Factor the polynomials. 1 1 1 fx 3) (x+2) fx+3) (x– 2) fx+2) (x 2) fx+3) fx3) Simplify by removing common factors of the numerator and denominator. 1 1 = 1 а2 +а- 56 . а2- а - 56 a² – 49 Multiply: a2 - 64 a°cfr(a + 8) 56a2 – 64 - a - a + 7

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.4: Real Zeros Of Polynomials
Problem 1E: If the polynomial function P(x)=anxn+an1xn1+....+a1x+ao< has integer coefficients. then the only...
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x² – x – 6 , x² + x – 6 _
x2 – 9
Multiply:
x2 - 4
To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any
common factors can be removed.
We want to give the result in simplified form.
(x² – x – 6)(x² + x – 6)
(x² – 4)(x²
(x – 3)(x + 2)(x + 3)(x – 2)
(x + 2)(x – 2)(x + 3)(x – 3)
x2
- 6
x2
—х- 6 х? +x —
- X -
Multiply the numerators. Multiply the denominators.
x2
4
9.
Factor the polynomials.
1
1
1
(* 3) (x+ 2) (X+3} (x2)
fX+2} (x 2 (X+3) (x– 3)
Simplify by removing common factors of the numerator and denominator.
1
1
1
1
= 1
a2 + a - 56 . a?
a? - 49
56
a? - 64
- a -
Multiply:
a°cfr[ a + 8)
56a? – 64
a -
a +7
Transcribed Image Text:x² – x – 6 , x² + x – 6 _ x2 – 9 Multiply: x2 - 4 To find the product, we will use the rule for multiplying rational expressions. In the process, we must be prepared to factor the numerators and denominators so that any common factors can be removed. We want to give the result in simplified form. (x² – x – 6)(x² + x – 6) (x² – 4)(x² (x – 3)(x + 2)(x + 3)(x – 2) (x + 2)(x – 2)(x + 3)(x – 3) x2 - 6 x2 —х- 6 х? +x — - X - Multiply the numerators. Multiply the denominators. x2 4 9. Factor the polynomials. 1 1 1 (* 3) (x+ 2) (X+3} (x2) fX+2} (x 2 (X+3) (x– 3) Simplify by removing common factors of the numerator and denominator. 1 1 1 1 = 1 a2 + a - 56 . a? a? - 49 56 a? - 64 - a - Multiply: a°cfr[ a + 8) 56a? – 64 a - a +7
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