Which of the following is not true?

Question

A. 2x^2 - 6 = ( 2x+ 3)(x - 2)
B. 2x^2 + x-6 = (2x - 2) (x + 3)
C. 2x^2 - 11x - 6 = (2x + 1) ( x - 6)
D. 2x^2 +11x - 6 = (2x - 1) (x +6)

" - " This means subtraction.

Answer 1

A & B.

Remember: First, Outer, Inner, Last (FOIL)

First: 2x*x = 2^2
Outer: 2x*-2 = -4x
Inner: 3*x = 3x
Last: 3*-2 = -6

So: 2^2 - 4x + 3x - 6 = 2^2 - x - 6

First: 2x*x = 2^2
Outer: 2x*3 = 6x
Inner: -2*x = -2x
Last: -2*3 = -6

So: 2^2 + 6x - 2x - 6 = 2^2 + 4x - 6
.

Answer 2

A. is the incorrect answer.
The RHS of the equation = 2x^2 -x-6 which is certainly not equal to 2x^2-6

Answer 3

A and B are not true., because
A is
2x^2 - 6
=2(x^2 - 3)
=2(x + sqroot3)(x - sqroot3)

and, B is
2x^2 + x - 6
= 2x^2 + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (x + 2)(2x - 3)

Hence, both A and B are incorrect.

Answer 4

A and B.

A. (2x+ 3)(x - 2) = 2x^2 - 4x + 3x - 6 = 2x^2 - x -6

B. (2x - 2) (x + 3)= 2x^2 +6x - 2x - 6 = 2x^2 +4x -6

Answer 5

A RHS = 2x^2 -4x + 3x - 6
B RHS = 2x^2 + 6x - 2x - 6
c RHS = 2x^2 - 11x + x -6
d RHS = 2x^2 + 11x - x - 6

SO......A and B

Answer 6

a is false because if you foil the right side there would be a -x term

b is false because the coefficent of x should be 4, not 1

c is true
d is true

Answer 7

A.
B.

Verify by using FOIL method.

Answer 8

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