Factoring Polynomials x^2 +bx + c

TRUE OR FALSE: When the values of both b and c are positive, the second terms of the binomials are both positive.
EXAMPLE: x^2 + bx + c = (x + b) (x + c)
EX1: x^2 + 9x + 14 = (x + 7) (x + 2)

• TRUE

• FALSE

TRUE OR FALSE: When the value of b is negative but the value of c is positive, the second terms of the binomials are both negative.
EXAMPLE: x^2 - bx + c = (x - b) (x - c)
EX1: x^2 -7x + 10 = (x - 5) (x - 2)

• TRUE

• FALSE

TRUE OR FALSE: When the value of c is negative, the second terms of the binomials have the same sign.
EXAMPLE: x^2 + bx - c OR x^2 - bx - c IS (x - b) (x - c) OR (x +b) (x +c)
EX1: x^2 - 5x - 14 = (x + 7) (x + 2)

• TRUE

• FALSE

• • - 1 - 15

  -3 - 5

• -4 - 4

  -1 - 8

• 1 + 15

  3 + 5

• 4 + 4

  1 + 7

• 1, 16

  2 ,8

• 1, 16

  2, 8

  4, 4

• 1, 48

  2, 24

  3, 16

  4, 12

  6, 8

• 1, 48

  2, 24

  4, 12

  6, 8

• (x + 22) (x + 2)

• (x -22) (x -2)

• (x + 11) (x + 4)

• (x -11) (x + 4)

• ( x + 7) (x -3)

• ( x -7) (x +3)

• (x + 1) (x -21)

• (x -1) (x + 21)

• (x + 10) (x -3)

• (x + 6) (x - 5)

• (x + 5) (x - 6)

• ( x - 10) (x + 3)