Explain Synthetic division method of polynomial division.

Monjur Alahi

Explain Synthetic division method of polynomial division.


0 like 0 dislike
1 views
Share with your friends

1 Answers

Salim Ahmed Kawsar

Call

Synthetic division is a shortcut method for dividing a polynomial by a simple divisor of the form (x - n). The divisor must be of that form in order for synthetic division to work. If it's not, you'll have to use long division.

If you are given, say, the polynomial equation y = x2+ 5x + 6, you can factor the polynomial as y = (x + 3)(x + 2). Then you can find the zeroes of y by setting each factor equal to zero and solving. You will find that x = –2 and x = –3 are the two zeroes of y.

Synthetic division uses only the coefficients of a polynomial, or the constants in front of each x-term, so it saves a ton of writing compared to using long division of polynomials.

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
give one example of synthetic antioxidant

Complex organic molecules such as BHA (butylated hydroxyanilsole) and BHT (butylated hydroxytoluene) are examples of synthetic antioxidants.

1 Answers 1 views
Explain why some fibres are called synthetic.

There are some fibres that are prepared by man by using chemicals. These are called synthetic fibres. These are made of small units that join together to form long chains....

1 Answers 1 views
Mark the correct solution. Rayon is different from synthetic fibres because (a) It has a silk-like appearance.

Rayon is different from synthetic fibres because:  (b) It is obtained from wood pulp. 

1 Answers 1 views
Fill in the blanks with appropriate words. (a) Synthetic fibres are also called ________or _________fibres.

(a) Synthetic fibres are also called artificial or man-made fibres.  (b) Synthetic fibres are synthesized from raw materials called petrochemicals.  (c) Like synthetic fibres, plastic is also a polymer.

1 Answers 1 views
Rana wants to buy shirts for summer. Should he buy cotton shirts or shirts made from synthetic material? Advise Rana, giving your reason.

Rana should buy shirts made from cotton. This is because cotton is a good absorber of water. It can soak the sweat coming out of our body and expose it...

1 Answers 1 views
Manufacturing synthetic fibres is actually helping conservation of forests'. Comment.

The natural fibers are obtained from plants and animals, whereas the synthetic fibers are obtained by chemical processing of petrochemicals. Unlike natural fibers, manufacturing of synthetic fibers do not require...

1 Answers 1 views
If on division of a polynomial p(x)by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?

Since the quotient is zero, therefore deg p(x) <deg g(x)

1 Answers 1 views
can x -2be the remainder on division of a polynomial p(x)by x +3?

No, as degree (x-2)=degree (x+3)

1 Answers 1 views
If the graph of a polynomial intersects the x -axis at only one point, can it be a quadratic polynomial?

Yes, because every quadratic polynomial has at the most two zeros.

1 Answers 8 views
If the graph of a polynomial intersects the x-axis at exactly two points, is it necessarily a quadratic PolYnomial?

No, x4 - 1 is a polynomial intersecting the x-axis at exactly two points.

1 Answers 2 views
X