Question

The product of the polynomials (3x + 2) and (-x3 – 3) is . When this product is multiplied by (3 + x), the coefficient of x4 in the result is . NextReset

Answer 1

(3x + 2)(-x^3 - 3) =
3x(-x^3 - 3) + 2(-x^3 - 3) =
-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =
3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =
-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =
-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Answer 2

The coefficient of x⁴ by a multiplier factor ( 3+ x) by the product of polynomials  (3x + 2) and (-x³ – 3) will be -11.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In mathematics, all real-world issues can be transformed into equations, which are occasionally expressed as factors and require expansion to get answers.

Given that

→  (3x + 2) × (-x³ – 3)

→ -3x⁴ - 9x -2x³ - 6

Now multiplies by (3 + x)

→  (3 + x) × (-3x⁴ - 9x -2x³ - 6 )

→ -9x⁴ -2x⁴ + rest has not power 4

→ -11 x⁴ hence the coefficient will be -11.

For more information about the expansion

brainly.com/question/14447197

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