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Rational Expressions Assignments - 2, Rational Expressions Solutions
B) 4x2 – 4x + 10. C) 16x2 – 24x + 30. D) 81x2 + 6x + 32. Solution: A) x2 + 8x + 25 = x2 + 2.x.4 + 42 + 9 = (x + 4)2 + 9. B) 4x2 – 4x + 10 = (2x)2 – 2.2x.1 + 1 + 9 ... |
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Factorización - El Rincón del Vago
1.) 5a2 + a = a·( 5a + 1 ). 2.) m2 + 2mx + x2 = ( m + x )2. 3.) a2 + a - ab - b = (a2 + a) - (ab + ... { (6x)2 - 6x - 12 } / 6 = { (6x)2 + 6x·(- 4 + 3) + (- 4)·(3) } / 6 ... 1 - 4b + 4b2 = 12 - 2·2b + (2b)2 = ( 1 - 2b )2. 14.) 4x4 + 3x2y2 + y2 = { (2x2)2 + 3x2y2 + x2y2 ... |
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Rewrite the equation 3x + 2x2 + 4 = 5 in standard form and identify a, b, and c. 3x + 2x2 + 4 ... 2x2 + 7x + 12 = 0; a = 2, b = 7, c = 12 ... Hint: Notice that in the general equation, the coefficient of x2 is not equal to 1. ... a = 1, b = 4, c = −5 ... Subtract 6x from each side and add 16 to both sides to put the equation in standar... |
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If coefficient of x2 is 1, then find the factors of c that sum to b. ... b2 = (a + b)(a - b); x2 + x(a + b) + ab = (x + a)(x + b); a3 + b3 = (a + b)(a2 - ab + b2) ... Step 1: Given cubic polynomial is x3 - 2x2 - 2x - 3 => Possible roots of the polynomial are 1, 3. |
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A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0. ... 1. 2x2 - 5x - 12 = 0. ... x2 +6x + 9 = 1 + 9. ... Thus, to complete the square for x2 + 2ax, one has to add a2.] (x + 3)2 ... . Example 14. |
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Rule 1 of exponents. a), 8x = 2x· 4, b), 6ax = 2x· 3a, c), 2x2 = 2x· x. d), 2x3 = 2x· x2, e), 4x10 = 2x· 2x9, f), 6x5 = 2x· 3x4. g), 2ax6 ... . a) 3abc− 4ab = ab(3c − 4). b) 2xy ... 6x − 6. 8x + 12y − 16z. 12x + 3. 18x − 30. 2x + ax. x2 + 4x. 8x2 − 4x. a) 2 + 6 + 10 + 14 + 18. b) 30 + 45 + 60 + 75. a) x3 − 2x2 − 3x − 4. b) 3y2 + 2y + 1. ... |
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