- POLYNOMIAL EXPRESSIONS–
Set 26 (Answers begin on page 194)
The problems in this set focus on factoring polynomi-
als that can be viewed as the difference of squares or
as perfect trinomials squared.
401.Factor completely x^2 – 36
a.(x– 6)^2
b.(x– 6)(x+ 6)
c.(x+ 6)^2
d.This polynomial cannot be factored further.
402.Factor completely: 144 – y^2
a.(12 –y)(12 + y)
b.(11 – y)(11 + y)
c.(y– 12)(y+ 12)
d.This polynomial cannot be factored further.
403.Factor completely: 4x^2 + 1
a.(2x + 1)^2
b.(2x + 1)(2x – 1)
c.(2x + 1)^2
d.This polynomial cannot be factored further.
404.Factor completely: 9x^2 – 25
a.(3x– 5)
b.(3x–5) (3x+ 5)
c.(5x– 3)(5x+ 3)
d.This polynomial cannot be factored further.
405.Factor completely: 121x^4 – 49z^2
a.(11x^2 – 7z)(11x^2 + 7z)
b.(12x^2 – 7z)(12x^2 + 7z)
c.(7z – 11x^2 )(7z + 11 x^2 )
d.This polynomial cannot be factored further.
406.Factor completely: 6x^2 – 24
a.(6x– 2)(x+ 2)
b.6(x–2)^2
c.6(x– 2)(x+ 2)
d.This polynomial cannot be factored further.
407.Factor completely: 32x^5 – 162x
a. 2 x(4x^2 + 9)
b. 2 x(2x– 3)^2 (2x+3)^2
c. 2 x(2x– 3)(2x+ 3)(4x^2 + 9)
d.This polynomial cannot be factored further.408.Factor completely: 28x(5 – x) – 7x^3 (5 – x)
a. 7 x(x – 2)(x+ 2)(5 – x)
b. 7 x(2 – x)(2 + x)(5 – x)
c. 7 x(5 – x)(x^2 + 4)
d.This polynomial cannot be factored further.409.Factor completely:x^2 (3x– 5) + 9(5 – 3x)
a.(x– 3)(x+ 3)(3x– 5)
b.(x^2 + 9 )(3x– 5)
c.(x^2 + 9 ) (5 – 3x)
d.This polynomial cannot be factored further.410.Factor completely:x(x^2 + 7x) – 9x^3 (x^2 + 7x)
a.x^2 (1 – 3x)(1 + 3x)(x+ 7)
b.x2(x+ 7)(1 + 9x^2 )
c.x^2 (3x–1)(3x+ 1)(x+ 7)
d.This polynomial cannot be factored further.411.Factor completely: 1 + 2x+ x^2
a.(x– 1)^2
b.(x+ 1)^2
c.(x+ 1)(x +2)
d.This polynomial cannot be factored further.412.Factor completely: 4x^2 – 12x+ 9
a.(2x– 3)(2x+ 3)
b.(2x+ 3)^2
c.(2x– 3)^2
d.This polynomial cannot be factored further.