Question

Answer X to the power 2 + 2x - 63 using the factor theorem..

Answer 1

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 2

Answer:

$= > {x}^{2} + 2x - 63 = 0 \\ = > {x}^{2} + 9x - 7x - 63 = 0 \\ = > x(x + 9) - 7(x - 9) = 0 \\ = > (x + 9)(x - 7) = 0 \\ = > x + 9 = 0 \: or \: x - 7 = 0 \\ = > x = - 9 \: or \: 7$