Apolynomial expression is shown below.

(mx+8)(2x−4)

the expression is simplified to:

−6x2+28x−32

what is the value of m?

a) -3

b) 4

c) 3

d) -4

m = -3

Step-by-step explanation:

The polynomial expression

(mx+8)(2x−4)

The next step is to expand the bracket

(mx × 2x) + (mx × -4) + (8×2x) + (8× -4)

2mx^2 - 4mx + 16x -32

2mx^2 - 4mx + 16x -32

2mx^2 + 12x -32 - - - - - - - - - - 1

From the question,

The expression is simplified to

−6x2+28x−32 - - - - - - - - - - - - 2

This means equation 1 = equation 2

Comparing both equations, we have

2mx^2 = −6x^2

2m = -6

m = -6/2 = -3

The correct option is a

The expression becomes

(-3x+8)(2x−4)

Let us check

Expanding the brackets,

(-3x × 2x) + (-3x ×-4)+ (8×2x) + (8×-4)

= -6x^2 +12x + 16x - 32

= -6x^2 +18x - 32

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see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2