1 / 5

Multiplying monomial with polynomial

Multiplying monomial with polynomial. Monomial An algebraic expression which contains only one term is known as Monomial  Example : 2 x , 3 x 2 , 4t, 9p 2 q, -8mn 2. Multiply Monomials by Polynomials Mo nomial is outside the parenthesis (bracket). Poly nomial is inside the parenthesis.

gusman
Download Presentation

Multiplying monomial with polynomial

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplying monomial with polynomial

  2. Monomial An algebraic expression which contains only one term is known as Monomial  Example : 2x, 3x2, 4t, 9p2q, -8mn2 • Multiply Monomials by Polynomials • Monomial is outside the parenthesis (bracket). • Polynomial is inside the parenthesis. • Use a distributive property to open the parenthesis. • Distributive property --->Multiply each term of the parenthesis by the • monomial keeping the addition or subtraction sign same.

  3. Example 1: Multiply (5a) and (3a6 + 2a + 5) Solution: 5a Monomial 3a6 + 2a + 5 polynomial Write in the multiplication expression and we get: 5a x (3a6 + 2a + 5) Use Distributive Law and multiply monomial with every term of polynomial & this is done in the following steps: x 5a x (3a6 + 2a + 5) = 5a x 3a6 + 5a x 2a + 5a x 5 = (5 x 3) (a x a6) + (5 x 2) (a x a) + (5 x 5) a = 15a7 + 10a2 + 25a x Multiply the co-efficients and variables separately. x For variables, add the exponents, a x a = a1+1 = a2 (a = a1) a x a6 = a1+6 = a7 (a = a1) Ans: 5a x (3a6 + 2a + 5) = 15a7 + 10a2 + 25a

  4. Example 2: Multiply (-3a) and (3a2 - 7a + 4) Solution: polynomial -3a 3a2 - 7a + 4 Monomial Write in the multiplication expression and we get: (-3a) x (3a2 - 7a + 4) Use Distributive Law and multiply monomial with every term of polynomial & this is done in the following steps: x = (-3a) x 3a2 - (-3a) x (7a) + (-3a)x 4 = (-3 x 3) (a x a2) - (-3 x 7) (a x a) + (-3 x 4) a = -9a3 - (-21)a2 + (-12)a = -9a3 +21a2 -12a (-3a) x (3a2 - 7a + 4) x Multiply the co-efficients and variables separately. x For variables, add the exponents, a x a = a1+1 = a2 (a = a1) a x a2 = a1+2 = a3 (a = a1) Multiplication rule of integers - x - = + , + x + = + - x + = - , + x - = - Ans:(-3a) x (3a2 – 7a+4) = -9a3 + 21a2 - 12a

  5. Try These Multiply (5h4) x (h5+7h+8) Multiply (-4n) x (n2+3n-10)

More Related