- POLYNOMIAL EXPRESSIONS–
426.Factor completely:x^2 (x + 1) – 5x(x+ 1) +
6(x+ 1)
a.(x+ 1)(x+ 3)(x– 2)
b.(x+ 1)(x– 3)(x– 2)
c.(x– 1)(x– 3)(x+ 2)
d.This polynomial cannot be factored further.
427.Factor completely:
2 x^2 (x^2 – 4) – x(x^2 – 4) + (4 – x^2 )
a.(x– 2)(x+ 2)(2x+ 1)(x– 1)
b.(x– 2)(x+ 2)(2x– 1)(x+ 1)
c.(x– 2)(x+ 2)(2x– 1)(x– 1)
d.This polynomial cannot be factored further.
428.Factor completely: 27(x– 3) + 6x(x– 3) – x^2 (x– 3)
a.–(x– 3)(x+ 3)(x+ 9)
b.–(x– 3)(x+ 3)(x–9)
c.(x– 3)(x+ 3)(x–9)
d.This polynomial cannot be factored further.429.Factor completely:
(x^2 + 4x+ 3)x^2 + (x^2 + 4x+ 3) 3x+ 2(x^2 + 4x+ 3)
a.(x+ 1)^2 (x– 2)(x– 3)
b.(x– 1)^2 (x+ 2)(x+ 3)
c.(x+ 1)^2 (x+ 2)(x+ 3)
d.This polynomial cannot be factored further.
430.Factor completely : 18(x^2 + 6x+ 8) – 2x^2 (x^2 +6x+ 8)
a.2(x+ 2)(x+ 4)(3 – x)(3 + x)
b.2(x+ 2)(x– 4)(x– 3)(x+ 3)
c.2(x– 2)(x+ 4)(3 – x)(3 + x)
d.This polynomial cannot be factored further.431.Factor completely:
2 x^2 (16 + x^4 ) + 3x(16 + x^4 ) + (16 + x^4 )
a.(16 + x^4 )(2x+ 1)(x+ 1)
b.(4 + x^2 )(4 – x^2 )(2x+ 1)(x+ 1)
c.(4 + x^2 )(2 – x^2 )(2 + x)(2x+ 1)(x+ 1)
d.This polynomial cannot be factored further.
432.Factor completely:
6 x^2 (1 –x^4 ) + 13x(1 – x^4 ) + 6(1 – x^4 )
a.(1 – x)^2 (1 + x)^2 (2x+ 3)(3x+ 2)
b.(1 – x)^2 (1 + x)^2 (2x+ 3)(3x+ 2)
c.(1 – x)(1 + x)(1 + x^2 )(3x+ 2)(2x+ 3)
d.This polynomial cannot be factored further.Set 28 (Answers begin on page 196)
This problem set focuses on finding roots of poly-
nomials using factoring techniques and the Zero Fac-
tor Property.433.Which of the following is a complete list of
zeroes for the polynomial 9x^2 – 36?
a. 6
b.–6
c.–6 and 6
d.4 and 9434.Which of the following is a complete list of
zeroes for the polynomial 9x^2 – 25?
a.–^53 and ^53
b.–3 and 3
c.–^35 and ^35
d.–3 and 5435.Which of the following is a complete list of
zeroes for the polynomial 5x^2 + 49?
a. 0
b.–1 and 0
c.–2 and 0
d.There are no zeroes for this polynomial.436.Which of the following is a complete list of
zeroes for the polynomial 6x^2 – 24?
a.–2 and 4
b.–2 and 2
c.2 and –4
d.There are no zeroes for this polynomial.