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Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below. -15x²-29x-12
-2(7x + 1) − 5(3x2 + 3x + 2)
(5x2 − 10x + 8) − (10x2 + 19x + 20)
(-7x2 − 21x + 13) − (8x2 + 8x + 25)
(-19x2 − 4x - 7) + (4x2 + 25x − 5)
(-17x2 + 2x − 3) + (2x2 − 31x − 9)
-2(4x − 15) − 3(5x2 + 7x + 6)

Respuesta :

Answer:

[tex]-2(7x + 1) - 5(3x2 + 3x + 2)[/tex]

[tex](-7x^2 - 21x + 13) - (8x^2 + 8x + 25)[/tex]

[tex]- 15x^2 - 29x - 12[/tex]

Step-by-step explanation:

(i) [tex]-2(7x + 1) - 5(3x2 + 3x + 2)[/tex]

By distributive property,

[tex]-14x - 2 - 15x^2 - 15x - 10[/tex]

By combining like terms,

[tex]- 15x^2 - 29x - 12[/tex]

(ii) [tex](5x^2 - 10x + 8) − (10x^2 + 19x + 20)[/tex]

By distributive property,

[tex]5x^2 - 10x + 8 - 10x^2 - 19x - 20)[/tex]

By combining like terms,

[tex]- 5x^2 - 29x - 12[/tex]

(iii) [tex](-7x^2 - 21x + 13) - (8x^2 + 8x + 25)[/tex]

By distributive property,

[tex]-7x^2 - 21x + 13 - 8x^2 - 8x - 25[/tex]

By combining like terms,

[tex]- 15x^2 - 29x - 12[/tex]

(iv) [tex](-19x^2 - 4x - 7) + (4x^2 + 25x - 5)[/tex]

By distributive property,

[tex]-19x^2 - 4x - 7 + 4x^2 + 25x - 5[/tex]

By combining like terms,

[tex]- 15x^2 + 21x - 12[/tex]

(v) [tex](-17x^2 + 2x - 3) + (2x^2 - 31x - 9)[/tex]

By distributive property,

[tex]-17x^2 + 2x - 3+ 2x^2 - 31x - 9[/tex]

By combining like terms,

[tex]- 15x^2 - 29x - 12[/tex]

(vi) [tex]-2(4x - 15) - 3(5x^2 + 7x + 6)[/tex]

By distributive property,

[tex]-8x +30 + 15x^2 - 21x -18[/tex]

By combining like terms,

[tex]15x^2 -29x + 12[/tex]

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