- POLYNOMIAL EXPRESSIONS–
Set 25 (Answers begin on page 193)
The method of factoring out the greatest common fac-
tor (GCF) from a polynomial is the focus of this prob-
lem set.
385.Factor out the GCF: 15x– 10
a.–5(3x – 2)
b.5(3x + 2)
c.–5(3x + 2)
d.This polynomial cannot be factored further.
386.Factor out the GCF: 9x^5 + 24x^2 – 6x
a.3(3x^5 + 8x^2 – 2x)
b. 3 x(3x^4 + 8x– 2)
c.x(9x^4 + 24x– 6)
d.This polynomial cannot be factored further.
387.Factor out the GCF: 36x^4 – 90x^3 – 18x
a. 9 x(4x^3 – 10x^2 – 2)
b.18(2x^4 – 5x^3 – x)
c. 18 x(2x^3 – 5x^2 – 1)
d.This polynomial cannot be factored further.
388.Factor out the GCF:x^3 – x
a.x(x^2 –1)
b.–x(x^2 + 1)
c.–x(x^2 – 1)
d.This polynomial cannot be factored further.
389.Factor out the GCF: 5x^2 + 49
a.5(x^2 + 49)
b.5(x^2 + 44)
c. 5 x(x+ 49)
d.This polynomial cannot be factored further.
390.Factor out the GCF: 36 – 81x^2
a.9(4 – 9x^2 )
b.9(4 – x^2 )
c.9(x^2 – 4)
d.This polynomial cannot be factored further.
391.Factor out the GCF: 125x^3 – 405x^2
a.–5x^2 (25x– 81)
b. 5 x(25x^2 – 81)
c. 5 x^2 (25x– 81)
d.This polynomial cannot be factored further.392.Factor out the GCF: 7^3 x^3 – 7^2 x^2 + 7x– 49
a.–7(49x^3 + 7x^2 + x– 7)
b.7(14x^3 – 7x^2 – x+ 7)
c.7(49x^3 – 7x^2 + x– 7)
d.This polynomial cannot be factored further.393.Factor out the GCF: 5x(2x+ 3) – 7(2x+ 3)
a.(2x+ 3)(7 – 5x)
b.(2x+ 3)(5x – 7)
c.(2x+ 3)(5x + 7)
d.This polynomial cannot be factored further.394.Factor out the GCF: 5x(6x– 5) + 7(5 – 6x)
a.(5x– 7)(5 – 6x)
b.(5x+ 7)(6x– 5)
c.(5x– 7)(6x– 5)
d.This polynomial cannot be factored further.395.Factor out the GCF:
6(4x+ 1) – 3y(1 + 4x) + 7z(4x+ 1)
a.(6 – 3y+ 7z)(4x+ 1)
b.(6 – 3y– 7z)(4x+ 1)
c.(–6 + 3y– 7z)(1 + 4x)
d.This polynomial cannot be factored further.396.Factor out the GCF: 5x(^23 x+ 7) – (^23 x+ 7)
a. 5 x(^23 x+ 7)
b.(5x– 1)(^23 x+ 7)
c.(5x+ 1)(^23 x+ 7)
d.This polynomial cannot be factored further.