Question

When (x + 4)(3x + 8)(x) is expressed as a polynomial in

Answer 1

After solving the polynomial $(x + 4)(3x + 8)(x)$ we get $3x^3+20x^2+32x$

Option C is correct.

Step-by-step explanation:

Solving the polynomial $(x + 4)(3x + 8)(x)$

Solving:

$(x + 4)(3x + 8)(x)\\=(x(3x+8)+4(3x+8))x\\=(3x^2+8x+12x+32)x\\=(3x^2+20x+32)x\\=3x^3+20x^2+32x$

After solving the polynomial $(x + 4)(3x + 8)(x)$ we get $3x^3+20x^2+32x$

Now, checking the statements:

a) The constant term is 3

Not true because there is no constant term in $3x^3+20x^2+32x$

b) The degree is 2

Not true because the degree is 3 and not 2 in $3x^3+20x^2+32x$

c) The leading coefficient is 3

True because the leading coefficient is 3 in $3x^3+20x^2+32x$

d) The number of terms is 2

Not true because the number of terms are 3 and not 2 in $3x^3+20x^2+32x$

So, Option C is correct.

Keywords: Polynomials

Learn more about polynomials at:

• brainly.com/question/12700460
• brainly.com/question/1560475
• brainly.com/question/4142886

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