Fujoshi16idn
Answered

Makakuha ng detalyadong mga sagot sa lahat ng iyong katanungan sa IDNStudy.com. Ang aming komunidad ay narito upang magbigay ng detalyadong sagot sa lahat ng iyong mga katanungan.

Factor completely the given polynomials.

1. x⁴ - 25x + 144
2. x⁴ - x³ - 7x² + x + 6
3. x⁴ + 2x³ - 9x² - 2x + 8
4.x⁴ - 5x² + 4
5. 2x³ + 3x² - 8x - 12
6. 2x³ - 7x² + 2x + 3
7. x⁴ - 4x³ - 7x² + 22x + 24
8. 3x³ + 10x² + 9x + 2
9. 4x³ - 19x² + 19x + 6
10. 2x³ + 9x² + 7x - 6

(Pahelp po. Biglang pasahan e)
​

Factor Completely The Given Polynomials1 X 25x 144 2 X X 7x X 63 X 2x 9x 2x 84x 5x 45 2x 3x 8x 126 2x 7x 2x 37 X 4x 7x 22x 248 3x 10x 9x 29 4x 19x 19x 610 2x 9x class=

Sagot :

Answer:

1.(x+3)(x−3)(x+4)(x−4)

2.(x+1)(x−1)(x+2)(x−3)

3.(x+1)(x−1)(x−2)(x+4)

4.(x+1)(x−1)(x+2)(x−2)

5.(2x+3)(x+2)(x−2)

6.(2x+1)(x−1)(x−3)

7.(x+1)(x+2)(x−3)(x−4)

8.(x+1)(x+2)(3x+1)

9.(4x+1)(x−2)(x−3)

10.(2x−1)(x+2)(x+3)

Step-by-step explanation:

#CarryOnLearning

Reizamarieidn

x⁴ - 25x + 144

Since both terms are perfect squares, factor using the difference of squares formula, a² − b² = ( a + b )(a − b ) where a = x and b = 4.

[tex](x + 4)(x - 4)(x + 3)(x - 3)[/tex]

x⁴ - x³ - 7x² + x + 6

Add and subtract the second term to the expression and factor by grouping.

[tex](x - 1)(x + 1)(x - 3)(x + 3)[/tex]

x⁴ - 5x² + 4

Since both terms are perfect squares, factor using the difference of squares formula, a² – b² = ( a + b )( a − b )where a = xand b = 2.

[tex](x + 2)(x - 2)(x + 1)(x - 1)[/tex]

2x³ + 7x² + 2x + 3

Factor the polynomial using the rational roots theorem.

[tex](x - 1)( {2x}^{2} - 5x - 5)[/tex]

x⁴ - 4x³ - 7x² + 22x + 24

Add and subtract the second term to the expression and factor by grouping.

[tex](x - 4)(x + 1)(x - 3)(x + 2)[/tex]

3x³ + 10x² + 9x + 2

Factor the polynomial using the rational roots theorem.

[tex](x + 1)(3x + 1)(x + 2)[/tex]

4x³ - 19x² + 19x + 6

Factor the polynomial using the rational roots theorem.

[tex](4x + 1)(x - 3)(x - 2)[/tex]

2x³ + 9x² + 7x - 6

Factor the polynomial using the rational roots theorem.

[tex](2x - 1)(x + 2)(x + 3)[/tex]

Maraming salamat sa iyong aktibong pakikilahok. Magpatuloy sa pagtatanong at pagbahagi ng iyong mga ideya. Sama-sama tayong lumikha ng isang mas matibay at produktibong komunidad ng kaalaman. Sa IDNStudy.com, kami ay nangako na magbigay ng pinakamahusay na mga sagot. Salamat at sa muling pagkikita.