Practice
Practice. Form G. Factoring to Solve Quadratic Equations 6. 3m(2m + 9) = 0. Solve by factoring. 7. n2 + 2n - 15 = 0. 8. a2 - 15a + 56 = 0.
Practice
Practice. Form G. Polynomial Functions. Write each polynomial in standard form. 6; quadratic trinomial. 9c4; quartic monomial b. 3; linear binomial.
Untitled
Practice. Factoring to Solve Quadratic Equations. 9-4. Use the Zero-Product Property to solve each equation. 1. (v + 6)(v ? 4) = 0 y+6=0.
STUDENT TEXT AND HOMEWORK HELPER
8-6 Factoring to Solve Quadratic Equations . You can access the Practice and ... This form is called the standard form of a quadratic function. Examples.
Practice
24c2 + 96c + 90. Practice. Form G. Factoring ax2 + bx + c. (2w. 3)(w. 5). (3p. 8)(p. 5). (2k. 7)(7k. 9). (5t. 1)(t. 5). (4k. 3)(2k. 9). (3d. 2)(d. 6). 2(3r.
Practice
Form G. Completing the Square. Find the value of c such that each 8. p2 - 5p = -4 ... square for solving the quadratic equation x2 + 4x - 6 = 0.
Practice
All Rights Reserved. 55. 8-6. Practice. Form K. Factoring ax2 + bx + c. Factor each expression. 1. 3n. 2 J 8n J 3. 2. 5a. 2 J 22a + 8. 3. 2s. 2 + 13s + 6.
Practice
Use the quadratic formula to solve each equation. 6. -7d2 + 2d + 9 = 0. 7. 2a2 + 4a - 6 = 0. 8. -3p2 + 17p = 20 ... no solution factoring is easiest.
Practice
Form G. Completing the Square. Solve each equation by finding square roots. 1. 3x2 = 75. 2. 5x2 - 45 = 0. 3. 4x2 - 49 = 0. 4. 6x2 = 216. 5. 2x2 = 14. 6.
Additional Vocabulary Support
Practice. Form G. Solving Polynomial Equations. Find the real or imaginary solutions of each equation by factoring. 1. 8x3 2 27 5 0. 2. x3 1 64 5 0.
Solving Quadratics by Factoring - Mesa Community College
Practice Form G Factoring to Solve Quadratic Equations Use the Zero-Product Property to solve each equation 1 (3(y+ 6)( - 4) = 0 2 f+ 2)( - 5) = 0 3 (2 x-7)(4 +10) = 0 4 (8 t7)(3 5) 5 d(d - 8) = 0 6 3 m(2 + 9) = 0 Solve by factoring 7 zn2 + 2n - 15 = 0 8 a2 - 15a + 56 = 0 9 2 - 10z + 24 = 0 10 8x2 + 10x + 3 = 0 11 3b2 + 7b - 6 = 0
Factoring to Solve Quadratic Equations - Weebly
Name Class Date Practice 9-4 Form G Factoring to Solve Quadratic Equations Use the Zero-Product Property to solve each equation Solve by factoring 7 n2 + 2n – 15 = 0 8 a2 – 15a + 56 = 0 10 8x2 + 10x + 3 = 0 11 3b2 + 7b – 6 = 0 13 w2 + w = 12 14 s2 + 12s = –32 16 3j2 – 20j = –12 17 12y2 + 40y = 7
Name Class Date
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.Practice Form G
Factoring to Solve Quadratic Equations
Use the Zero-Product Property to solve each equation.1. (y+6)(y-4)=0 2. (3f+2)(
f-5)=03. (2x-7)(4x+10)=0 4. (8t-7)(3t+5)=0
5. d(d-8)=0 6. 3m(2m+9)=0
Solve by factoring.
7. n 2 +2n-15=0 8. a 2 -15a+56=0 9. z 2 -10z+24=010. 8x
2 +10x+3=0 11. 3b 2 +7b-6=0 12. 5p 2 -9p-2=0 13. w 2 +w=12 14. s 2 +12s= -32 15. d 2 =5d16. 3j
2 -20j= -12 17. 12y 2 +40y=7 18. 27r2 +69r=8
Use the Zero-Product Property to solve each equation. Write your solutions as a set in roster form. 19. k 2 -11k+30=0 20. x 2 -6x-7=0 21. n 2 +17n+72=0
22. ?e volume of a sandbox shaped like a rectangular prism is 48 ft
3. ?e height
of the sandbox is 2 feet. ?e width is w feet and the length is w+2 feet. Use the formulaV=lwh to ?nd the value of w.
23. ?e area of the rubber coating for a ?at roof was 96 ft
2 . ?e rectangular frame the carpenter built for the ?at roof has dimensions such that the length is4 feet longer than the width. What are the dimensions of the frame?
24. Ling is cutting carpet for a rectangular room. ?e area of the room is 324 ft
2 ?e length of the room is 3 feet longer than twice the width. What should the dimensions of the carpet be? {6, 5}{-1, 7}{-8 , -9} 48 ft by 12 ft
12 ft by 27 ft
-6; 45; - 2 3 7 2 5 2 7 8 5 3 0; 8 -5; 37; 86; 4 3 4 1 2 23; -32; - 1 5
3; -4-4; -80; 5
2 3 ; 6 1 6 7 2 1 9 8 3 0; - 9 2Name Class Date
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.Write each equation in standard form. ?en solve.
25. 21x
2 +5x-35=3x 2 -4x 26. 3n 2 -2n+1= -3n 2 +9n+11Find the value of
as it relates to each rectangle or triangle.27. Area=60 cm
228. Area=234 yd
229. Area=20 in.
230. Area=150 m
2 Reasoning For each equation, ?nd and the value of any missing solutions. 31. x2 -kx-16=0 where -2 is one solution of the equation. 32. x
2 -6x=k where 10 is one solution of the equation.
33. kx
2 -13x=5 where - 1 3 is one solution of the equation.34. Writing Explain how you solve a quadratic equation by factoring.
Practice (continued) Form G
Factoring to Solve Quadratic Equations
HSM11A1TR_0904_T03401
x 4xHSM11A1TR_0904_T03402
2 x - 8xHSM11A1TR_0904_T03403
x + 3 xHSM11A1TR_0904_T03403
2 x + 1x6 cm13 yd
5 in.12 m
6; 8 40;-4 Write the equation in standard form equal to zero. Write two sets of parentheses. Find factors of the x 2 term. Find factors of the constant term. Find the combination of factors whose sum equals the x -term. 18x 2 +9x-35; - 5 3 7 6 6n 2 -11n-10; 5 2 2 3 6; 5 2quotesdbs_dbs11.pdfusesText_17
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