Respuesta :
The factored form of the given quadratic expressions are
1. (x -1)(x +7)
2. (x -2)(x -3)
3. (x +1)(x -7)
4. (x -1)(x +6)
5. (x -3)(x +4)
6. (x +2)(x -4)
7. (x +1)(x -5)
8. (x -1)(x +3)
9. (x +4)(x -4)
10. (x +3)(x -4)
11. (x -3)(x -6)
12. (x +2)(x -7)
13. (x -2)(x -5)
14. (x -3)(x -8)
15. (x +5)(x -6)
Factoring quadratic expressions
From the question we are to factor the given quadratic expressions
1. x² + 6x - 7
x² +7x -x - 7
x(x +7) -1(x +7)
(x -1)(x +7)
2. x² -5x +6
x² -3x -2x +6
x(x -3) -2(x -3)
(x -2)(x -3)
3. x² -6x -7
x² -7x +x -7
x(x -7) +1(x -7)
(x +1)(x -7)
4. x² +5x -6
x² -x +6x -6
x(x -1) +6(x -1)
(x -1)(x +6)
5. x² + x - 12
x² +4x -3x -12
x(x +4) -3(x +4)
(x -3)(x +4)
6. x² -2x -8
x² -4x +2x -8
x(x -4) +2(x -4)
(x +2)(x -4)
7. x² -4x -5
x² -5x +x -5
x(x -5) +1(x -5)
(x +1)(x -5)
8. x² + 2x - 3
x² +3x -x -3
x(x +3) -1(x +3)
(x -1)(x +3)
9. x² - 16
(x +4)(x -4)
10. x² -x -12
x² -4x +3x -12
x(x -4) +3(x -4)
(x +3)(x -4)
11. x² -9x +18
x² -6x -3x +18
x(x -6) -3(x -6)
(x -3)(x -6)
12. x² -5x -14
x² -7x +2x -14
x(x -7) +2(x -7)
(x +2)(x -7)
13. x² -7x +10
x² -5x -2x +18
x(x -5) -2(x -9)
(x -2)(x -5)
14. x² -11x +24
x² -8x -3x +24
x(x -8) -3(x -8)
(x -3)(x -8)
12. x² -x -30
x² -6x +5x -30
x(x -6) +5(x -6)
(x +5)(x -6)
Hence, the factored form of the given quadratic expressions are
(x -1)(x +7)
(x -2)(x -3)
(x +1)(x -7)
(x -1)(x +6)
(x -3)(x +4)
(x +2)(x -4)
(x +1)(x -5)
(x -1)(x +3)
(x +4)(x -4)
(x +3)(x -4)
(x -3)(x -6)
(x +2)(x -7)
(x -2)(x -5)
(x -3)(x -8)
(x +5)(x -6)
Learn more on Factoring quadratic expressions here: https://brainly.com/question/52959
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