1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  • POLYNOMIAL EXPRESSIONS–


397.Factor out the GCF: 3x(x+ 5)^2 – 8y(x+ 5)^3 + 7z(x+ 5)^2


a.(x+ 5)(3x– 8yx– 40y+ 7z)
b.(x+ 5)^2 (–3x+ 8yx+ 40y– 7z)
c.(x+ 5)^2 (3x– 8yx– 40y+ 7z)
d.This polynomial cannot be factored further.

398.Factor out the GCF: 8x^4 y^2 (x – 9)^2 – 16x^3 y^5 (x– 9)^3 + 12 x^5 y^3 (9 – x)
a. 4 x^3 y^2 (x– 9)[2x^2 – 18x– 4y^3 x^2 + 72y^3 x– 324y^3 – 3x^2 y]
b. 4 x^3 y^2 (x– 9)[2x^2 – 18x+ 4y^3 x^2 – 72y^3 x+324y^3 – 3x^2 y]
c. 4 x^3 y^2 (x– 9)[2x^2 + 18x– 4y^3 x^2 + 72y^3 x– 324y^3 +3x^2 y]
d.This polynomial cannot be factored further.

399.Factor out the GCF: 8x^4 y^2 z(2w– 1)^3 – 16x^2 y^4 z^3 (2w– 1)^3 + 12x^4 y^4 z(2w– 1)^4


a. 4 xyz(2w– 1)^2 [2x^3 –4y^3 z^3 + 6x^3 y^3 w– 3x^3 y^3 ]
b. 4 x^2 y^2 z(2w– 1)^2 [2x^2 –4y^2 z^2 + 6x^2 y^2 w– 3x^2 y^2 ]
c. 4 x^2 y^2 z(2w– 1)^3 [2x^2 –4y^2 z^2 + 6x^2 y^2 w– 3x^2 y^2 ]
d.This polynomial cannot be factored further.

400.Factor out the GCF: –22a^3 bc^2 (d–2)3(1 – e)^2 + 55a^2 b^2 c^2 (d– 2)2(1 – e) – 44a^2 bc^4 (d– 2)(1 – e)
a. 11 a^2 bc^2 (d–2)(1– e)[2a(d– 2)^2 (1 – e) + 5b(d– 2) + 4c^2 ]
b. 11 a^2 bc^2 (d–2)(1– e)[–2a(d– 2)^2 (1 – e) + 5b(d– 2) – 4c^2 ]
c. 11 a^2 bc^2 (d–2)(1– e)[–2a(d– 2)^2 (1 – e) + 5b(d– 2) + 4c^2 ]
d.This polynomial cannot be factored further.

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