3b 2sqaured - 14b+8 factor completely?
If you mean 3b^2 - 14b + 8, that factors as (3b - 2)(b - 4)
TEN POINTS: Algebra Factoring Help..?
1) x^2-7x718 DO NOT UNDERSTAND 2) p^2-5p-14 COEFFICIENT OF p^2 = +1 ( +1) ( -14) = -14 FIND FACTORS OF -14 WHICH ADD UP TO -5 ( COEFFICIENT OF p ) (+2) ( -7) = -14 p^2 +2p -7p -14 p ( p + 2) -7( p +2) ( p-7) ( p-2) ANSWER USE THE SAME METHOD FOR ALL YOUR PROBLEMS. 3)m^2-9m+8 ( m -8) ( m-1) ANSWER 5) 7x^2-31x-20 7x^2 -35x +4x -20 7x ( x -5) +4( x-5) ( 7x +4) ( x-5) ANSWER 7) 7x^2-45x-28 7x^2 -49x + 4x -28 7x ( x -7) +4( x-7) ( 7x +4) ( x-7) ANSWER 8) 2b^2+17b+21 2b^2 +3b + 14b +21 b ( 2b +3) +7( 2b +3) ( b + 7) ( 2b +3) ANSWER 9) 5p^2-p-18 5p^2 -10p +9p -18 5p ( p -2) +9( p-2) ( 5p+9) ( p-2) ANSWER 10) 28n^4+16n^3-80n^2 4n^2 ( 7n^2 +4n - 20) 4n^2 ( 7n^2 +14n -10n -20) 4n^2 ( 7n (n +2) -10(n +2) ) 4n^2 ( 7n-10) ( n+2) ANSWER
Factorize Algebra Problems?
I dont understand how to do this, can someone help me, I would highly appreciate it, thank you 1) 12b^3+3b 2) 14s^2-33sr+18r^2 3) 99b^2-704c^2 4) 20q^2-39qt+18t^2 5) 20s^2-41sd+20d^2 6) t^2+4t-32 7) 3p^3+6p^2-21p 8) 20v^2-39vw+18w^2 9) 45w^2-320 10) 4b^2+28b+49
Can anyone tell the solution of this question [math](7 + 5 \sqrt{2})^{1/3} + (7- 5\sqrt{2})^ {1/3}=?[/math]
Take 7+5(2)^(1/2)=a^3 and 7-5(2)^(1/2)=b^3. a^3 b^3=49-50=-1=>a b=-1 and a^3+b^3=14.We want the value of a+b. Denote a+b =x.x^3=a^3+b^3+3 a b(a+b)=14-3x=>x^3+3 x-14=0=>(x-2)(x^2+2 x+7)=0=>x=2 (as x^2+2 x+7 >0) Hence (7+5(2)^(1/2))^(1/3)+(7-5(2)^(1/2))^(1/3)=2
Need some help PLEASE!!!! College Algebra :-&?
1. Factor the polynomial 5a^3b^4c^2 - 30a^4b^2c^3, if possible. 2. Factor the polynomial 27y + 18 3. Find the GCF of the set of monomials: 147, 98 4. Find the prime-factored form of the number: 385. 5. Factor the polynomial. 9a^6 b^4c^8 - 16d^10 6. True or False? a^4 - 5a^2 + 6 = (a^2 - 3)(a^2 - 2)? 8. Use a special product formula to factor the perfect square trinomial. b^2 + 14b + 49? 9. True or False? The trinomial b^2 + 2b + 16 is prime? 11. Factor the expression: 19(x + y) - 5t(x + y)? 12. Factor the trinomial. Factor out all common monomials first. 21x^3 - 13x^2 + 2x? 13. Factor the polynomial. 49y^2 - 4? 14. Factor (3x^2 + 3xy + 4x + 4y) by grouping. 15. Use a special product formula to factor the perfect square trinomial. 4x^2 - 28x + 49? I am so confused and these are only practice problems!!!!!!! I just need to see the steps with the answer. Thanks!!!!!!!!!!!!!!
Help Me : Algebra 1 (MATH)?
Directions: Simplify the expression for questions 1-2. 1. 4 (1 + 6m) - 3m A. 24m^2 - 64m B. 4 + 21m C. - 9m - 3 D. 4 + 14m 2. 2b ( -6b - 7) + 2b^2 A. 3b^2 + 6b B. - 10b^2 - 14b C. 8 + 12b D. 3b^2 + 3b 3. Solve the equation by completing the square: 7x^2 - 14x 49 = 7 A. {2 + 2√3, 2 - 2√3} B. No Solution C. {8, 6} D. {4, 2} 4. Divide: (8k^2 - 55k - 75) ÷ (k - 8) A. 8k + 4 - 7/k-8 B. 8k + 9 - 3/k-8 C. 8k + 7 - 5/k-8 D. 8k + 1 - 12/k-8 5. Solve the equation by factoring: 2x^2 - 16x + 30 = 0 A. { -2, 5} B. { -4, - 3} C. {5, 3} D. {4, 5} Directions: Factor each equation completely for questions 6-7. 6. 126v^3 + 105v^2 - 108v - 90 A. 18(v - 1) (7v^2 + 5) B. 3(7v^2 - 6) (6v + 5) C. 18(7v^2 + 5) (v + 1) D. 3(7v^2 + 6) (6v + 5) 7. 4x^3 + x^2 - 32x – 8 A. 4(x^2 + 8) (x + 2) B. (x^2 - 8) (4x + 1) C. (x^2 + 8) (4x + 1) D. (x^2 + 8) (4x - 1) Directions: Evaluate the expressions for questions 8-10. 8. ( - 5)^2 - ( 3) - 5 A. 32 B. 20 C. 15 D. 23 9. 29 - 9 / 2^2 A. 3 B. 7 C. 11 D. 5 10. (3r - 3)(2r - 5) A. 6r^2 - 21r + 15 B. 6r^2 - 9r - 15 C. 6r^2 + 15 D. 6r^2 + 9r – 15 Directions: Find the Greatest Common Factor (GCF) for questions 11-12. 11. 48x^3y^2 and 32x ^2y A. 6xy^2 B. 16x^2y C. 8xy D. 12x^2y 12. 49x^4y^2 and 28x^2y^4 A. 24xy^2 B. 14x^2y^4 C. 7x^2y^2 D. 3x^2y^2
Find the parabola of the form y=ax^2+b which best fits the points (1,0), (2,2), (3,4) by minimizing the sum?
Find the parabola of the form y=ax^2+b which best fits the points (1,0), (2,2), (3,4) by minimizing the sum, S, of squares of the vertical distances from the above points to the parabola given by S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2 y=?
Simultaneous Equations help?
2a + 2(a - 8) = 32 a + a - 8 = 16 2a = 24 a = 12 12 - b = 8 b = 4 Answer: a = 12, b = 4 ----------- a + 2b - 3c + 2a + b + c + 5a - 2b - c = 0 + 8 + 7 b = 15 - 8a + 3c a + 2(15 - 8a + 3c) - 3c = 0 a + 30 - 16a + 6c - 3c = 0 3c = 15a - 30 c = 5a - 10 b = 15 - 8a + 3(5a - 10) b = 15 - 8a + 15a - 30 b = 7a - 15 2a + 7a - 15 + 5a - 10 = 8 14a = 33 a = 33/14 b = 7(33/14) - 15 b = (33 - 30)/2 b = 3/2 c = 5(33/14) - 10 c = (165 - 140)/14 c = 25/14 Answer: a = 33/14; b = 3/2; c = 25/14 Proof—3rd equation: 5(33/14) - 2(3/2) - 25/14 = 7 (165 - 42 - 25)/14 = 7 98/14 = 7 7 = 7