Question

Factorise 16+8x-3x^2​

Answer 1

Answer:

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Algebra Examples

Popular Problems Algebra Factor 3x^2+8x-16

3

x

2

+

8

x

−

16

3x2+8x-16

For a polynomial of the form

a

x

2

+

b

x

+

c

ax2+bx+c, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

3

⋅

−

16

=

−

48

a⋅c=3⋅-16=-48 and whose sum is

b

=

8

b=8.

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3

x

2

−

4

x

+

12

x

−

16

3x2-4x+12x-16

Factor out the greatest common factor from each group.

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x

(

3

x

−

4

)

+

4

(

3

x

−

4

)

x(3x-4)+4(3x-4)

Factor the polynomial by factoring out the greatest common factor,

3

x

−

4

3x-4.

(

3

x

−

4

)

(

x

+

4

)

(3x-4)(x+4)

Answer 2

$\huge\fbox\pink{✯Answer✯}$

$16 + 8x - 3 {x}^{2}$

Factors out common term -1

$= - (3 {x}^{2} - 8x - 16)$

$3 {x}^{2} - 8x - 16$

$= - (3x + 4)(x - 4)$