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Questions and Answers of College Algebra

The following exercises are of mixed variety. Factor each polynomial.z4 - 9z2 + 20
Refer to Example 9. After how many seconds will the rocket be(a) 240 ft above the ground? (b) 112 ft above the ground?Data from in Example 9 EXAMPLE 9 Using a Quadratic Function in an Application If
Factor each trinomial. p4 - 10p2 + 16
Factor each polynomial. 125k - 64k4
The following exercises are of mixed variety. Factor each polynomial.21m4 - 32m2 - 5
Factor each trinomial. k4 + 10k2 + 9
Factor each polynomial.216k2 + 125k5
Use the the method of factoring by grouping to factor each polynomial.27x3 + 9x2 + y3 - y2
Factor each trinomial. 2x4 - 9x2 - 18
Factor each trinomial. 6z4 + z2 - 1
Complete each factoring. x² + ax ax-6a² = = (x + 3a) (_____
The following exercises are of mixed variety. Factor each polynomial.6t2 + 19tu - 77u 2
Factor completely.6k2 + 11k - 10
Solve. 3m2 - 9m = 0
Solve. |x + 2
Factor.27x6 + 1
Solve each equation. x2 + 9x + 18 = 0
Factor each polynomial. 64m4 - 4y4
Use the the method of factoring by grouping to factor each polynomial.y4 + y3 + y + 1
Solve each equation for the specified variable.Mv = mv - Vm for m
Factor each polynomial. 36m2 - 25
If a rock is dropped from a building 576 ft high, then its distance in feet from the ground t seconds later is modeled by the functionHow long after it is dropped will it hit the ground? f(t) =
Use the the method of factoring by grouping to factor each polynomial.27a3 + 15a - 64b3 - 20b
If a baseball is dropped from a helicopter 625 ft above the ground, then its distance in feet from the ground t seconds later is modeled by the functionHow long after it is dropped will it hit the
Factor each trinomial. (x - 2)₂x7- (2-x)xz - (x - 2)₂z
Use the the method of factoring by grouping to factor each polynomial.1000k3 + 20k - m3 - 2m
Factor each trinomial. r²(r – s) — 5rs(s – r) - 6s²(rs)
Use the the method of factoring by grouping to factor each polynomial.8t4 - 24t3 + t - 3
Factor each trinomial. 16x4 + 16x2 + 3
The following exercises are of mixed variety. Factor each polynomial.x5 + 3x4 - x - 3
Factor each trinomial. 9r4 + 9r2 + 2
The following exercises are of mixed variety. Factor each polynomial.1 - x16
Which equation is not in proper form for using the zero-factor property? Why? A. (x + 2)(x-6) = 0 C. 3t(t + 8) (t- 9) = 0 B. x(3x - 7) = 0 D. y(y - 3) + 6(y - 3) = 0
Solve each equation for the specified variable. k = dF - DF for F
Complete each factoring. r²r - 20 = (r + 4)(_
The following exercises are of mixed variety. Factor each polynomial.m2 - 4m + 4 - n2 + 6n - 9
Solve. 2x +4 10 or 3x1 < 5
The following exercises are of mixed variety. Factor each polynomial.k2 - 6k - 16
Factor by grouping.x2 + 3x - 3y - xy
Solve. |5x + 3| – 10 = 3
Complete each factoring. x² + 4x - 32 = (x-4) (_
Solve.5x2 - 17x - 12 = 0
Factor.y3 - 216
Solve each equation.x2 - 3x - 10 = 0
Factor each polynomial. 18a2 - 98b2
The following exercises are of mixed variety. Factor each polynomial.x3 - 1000
Factor completely.3p2 - p - 4
Solve.x3 - x = 0
Factor.6k4 - k2 - 35
Solve each equation. x2 + x - 12 = 0
Complete each factoring. m² - 3mn - 10n² = (m + 2n) ( ____
Factor each polynomial. 32c2 - 98d2
Solve. |2x - 5 ≥9
Solve. 2.A hb hB for h
Complete each factoring. 4x² - 4x - 3 (2x + 1)(
The following exercises are of mixed variety. Factor each polynomial.4(p + 2) + m(p + 2)
Factor completely.12r2 - 5r - 3
Factor.(t2 + 3)2 + 4(t2 + 3) - 5
Factor each polynomial. (y + 2)²-81
Solve each equation.x2 - 18x + 80 = 0
The rectangular floor area of a typical Native American longhouse was about 2750 ft2. The length was 85 ft greater than the width. What were the dimensions of the floor? x + 85
Factor each polynomial.243x4 - 3t4
The following exercises are of mixed variety. Factor each polynomial.40p - 32r
Factor completely.10m2 + 37m + 30
Solve.S = 2HW + 2LW + 2LH for H
Factor.16x2 + 9
Solve each equation.2x2 = 7x + 4
The following exercises are of mixed variety. Factor each polynomial.9m2 - 45m + 18m3
Factor completely.10k2 - 11kh + 3h2
Complete each factoring. 62² - 11z + 4 = (32-4)(____)
Solve each equation. (x + 8) (x - 2) = -21
Factor each polynomial. (p+q)² + 2(p+q) + 1
Solve. (x - 1)(2x + 3)(x + 4) = 0
The following exercises are of mixed variety. Factor each polynomial.64m2 - 625
Solve each equation. (2x + 1)(x 3) = 6x + 3 −
Factor each polynomial. 80z2 - 40zw + 5w2
Factor completely.m6 - 1
Solve each equation. (3x + 2)(x-3) = 7x - 1
Factor each polynomial. (x + y)² + 6(x + y) +9
Factor each trinomial. -15y2 + 17y + 18
The following exercises are of mixed variety. Factor each polynomial.14z2 - 3zk - 2k2
Factor each polynomial. (a - b)² + 8(a - b) + 16
Factor completely.x8 - 1
Factor each trinomial. 10x2 + 3x - 18
Factor completely. (a + b)³ - (a - b) ³ 3
A sign is to have the shape of a triangle with a height 3 ft greater than the length of the base. How long should the base be if the area is to be 14 ft2? QUIET ZONE X x + 3
The following exercises are of mixed variety. Factor each polynomial.12z3 - 6z2 + 18 z
Factor completely.x2 + 6x + 9 - 25y2
Solve. 9x2 = 6x - 1
Factor each trinomial. 8k2 + 34k + 35
The following exercises are of mixed variety. Factor each polynomial.225k2 - 36r2
Solve each equation. 2x2 - 12 - 4x = x2 - 3x
Factor each trinomial. 20k2 + 47k + 24
The following exercises are of mixed variety. Factor each polynomial.256b2 - 400c2
Factor each polynomial. (mn)² + 4(m − n) + 4
Solve each equation. (5x+1)(x+3) = –2(5x + 1)
Factor completely.x5 - x3 - 8x2 + 8
Solve each equation. (5r+2)(x+1) =0
Solve each equation.3x2 + 9x + 30 = 2x2 - 2x
Factor each trinomial. 27z2 + 42 z - 5

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