Question

2. Check whether 7 + 3x is a factor of 3x³ + 7x.​

Answer 1

Answer:

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Step-by-step explanation:

Here

Dividend = 3x3 + 7x

Divisor = 7 + 3x

Put divisor 7 + 3x = 0

3x = – 7

x = – 7 / 3

Let p (x) = 3x3 + 7x

Putting x = – 7/3

p (- 7/3) = 3 (- 7/3)3 + 7 (- 7/3)

p (- 7/3) = 3(-343/27) + 7(-7/3)

p (- 7/3) = [- 343 – 49 (3)]/9

p (- 7/3) = – 590/9

p (- 7/3) = – 590/9

Remainder is not 0.

7 + 3x is not a factor of 3x3 + 7x.

Answer 2

Step-by-step explanation:

A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

A polynomial can be written as the product of its factors having a degree less than or equal to the original polynomial.

The process of factoring is called factorization of polynomials.

The value of a polynomial obtained on putting a particular value of the variable is called the value of the polynomial.

Here

Dividend = 3x3 + 7x

Divisor = 7 + 3x

Put divisor 7 + 3x = 0

3x = – 7

x = – 7 / 3

Let p (x) = 3x3 + 7x

Putting x = – 7/3

p (- 7/3) = 3 (- 7/3)3 + 7 (- 7/3)

p (- 7/3) = 3(-343/27) + 7(-7/3)

p (- 7/3) = [- 343 – 49 (3)]/9

p (- 7/3) = – 590/9

p (- 7/3) = – 590/9

Remainder is not 0.

7 + 3x is not a factor of 3x3 + 7x.

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