- POLYNOMIAL EXPRESSIONS–
413.Factor completely: 75x^4 + 30x^3 + 3x^2
a. 3 x^2 (5x+ 1)(5x– 1)
b. 3 x^2 (5x– 1)^2
c. 3 x^2 (5x+ 1)^2
d.This polynomial cannot be factored further.
414.Factor completely: 9x^2 (3 + 10x) –24x(10x+ 3)
- 16(3 + 10x)
a.(3 + 10x)(3x– 4)^2
b.(3 + 10x)(3x– 4)(3x+ 4)
c.(3 + 10x)(3x+ 4)^2
d.This polynomial cannot be factored further.
415.Factor completely: 1 – 6x^2 + 9x^4
a.(1 + 3x^2 )^2
b.(1 – 3x^2 )^2
c.(1 – 3x^2 )(1 + 3x^2 )
d.This polynomial cannot be factored further.
416.Factor completely: 8x^2 – 24x^4 + 18x
a. 2 x(2x^3 + 3)^2
b. 2 x(2x^3 – 3)^2
c. 2 x(2x^3 – 3)(2x^3 + 3)
d.This polynomial cannot be factored further.
Set 27 (Answers begin on page 194)
Factoring polynomials using the trinomial method is
the focus of this problem set.
417.Factor completely:x^2 + 2x– 8
a.(x+ 4)(x– 2)
b.(x– 4)(x+ 2)
c.(x+ 1)(x– 8)
d.This polynomial cannot be factored further.
418.Factor completely:x^2 – 9x+ 20
a.(x– 4)(x– 5)
b.(x+ 2)(x– 10)
c.–(x+ 4)(x+ 5)
d.This polynomial cannot be factored further.
419.Factor completely: 6x^2 + 11x– 2
a.(2x+ 2)(3x– 1)
b.(3x+ 2)(2x– 1)
c.(x+ 2)(6x– 1)
d.This polynomial cannot be factored further.420.Factor completely: 12x^2 – 37x– 10
a.(4x– 10)(3x+ 1)
b.(3x– 10)(4x+ 1)
c.(3x– 2)(4x+ 5)
d.This polynomial cannot be factored further.421.Factor completely: 7x^2 – 12x+ 5
a.(7x–1)(x– 5)
b.(7x+1)(x+ 5)
c.(7x–5)(x– 1)
d.This polynomial cannot be factored further.422.Factor completely: 9 – 7x– 2x^2
a.(9 + 2x)(1 – x)
b.(3 + 2x)(3 – x)
c.(3 + x)(3 – 2x)
d.This polynomial cannot be factored further.423.Factor completely: 2x^3 + 6x^2 + 4x
a.2(x+ 2)(x^2 + 1)
b.2(x^2 + 2)(x+ 1)
c. 2 x(x+ 2)(x+ 1)
d.This polynomial cannot be factored further.424.Factor completely: –4x^5 + 24x^4 – 20x^3
a. 4 x^3 (5 – x)(1 – x)
b. 4 x^3 (x– 5)(x– 1)
c.–4x^3 (x–5)(x– 1)
d.This polynomial cannot be factored further.425.Factor completely: –27x^4 + 27x^3 – 6x^2
a.–3x^2 (3x+ 1)(3x+ 2)
b.–3x^2 (3x– 1)(3x– 2)
c.–3x^2 (3x– 1)(3x– 2)
d.This polynomial cannot be factored further.