Answer: In the A x 2 + B x + C The C term is negative this means that one binomial factor must be negative and the other positive. The B term is positive this means that the positive binomial factor must be larger than the negative binomial factor. The B coefficient is 2 so there must be a difference of 2 between the two binomial factors. Factors of 63 are 63 x 1 21 x 3 9 x 7 The set of factors for 63 with a difference of 2 are 9 and 7 so the factors of x 2 + 2 x − 63 are ( x +9) xx ( x -7) Reply
Answer: [tex] = > {x}^{2} + 2x – 63 = 0 \\ = > {x}^{2} + 9x – 7x – 63 = 0 \\ = > x(x + 9) – 7(x – 9) = 0 \\ = > (x + 9)(x – 7) = 0 \\ = > x + 9 = 0 \: or \: x – 7 = 0 \\ = > x = – 9 \: or \: 7[/tex] Reply
Answer:
In the
A
x
2
+
B
x
+
C
The C term is negative this means that one binomial factor must be negative and the other positive.
The B term is positive this means that the positive binomial factor must be larger than the negative binomial factor.
The B coefficient is 2 so there must be a difference of 2 between the two binomial factors.
Factors of 63 are
63 x 1
21 x 3
9 x 7
The set of factors for 63 with a difference of 2 are 9 and 7 so
the factors of
x
2
+
2
x
−
63
are
( x +9) xx ( x -7)
Answer:
[tex] = > {x}^{2} + 2x – 63 = 0 \\ = > {x}^{2} + 9x – 7x – 63 = 0 \\ = > x(x + 9) – 7(x – 9) = 0 \\ = > (x + 9)(x – 7) = 0 \\ = > x + 9 = 0 \: or \: x – 7 = 0 \\ = > x = – 9 \: or \: 7[/tex]