We will multiply two or more polynomials in the following order.

(1) Symbol

(2) Number

(3) Variable

Let us see how it works

Multiply (5x²) and (-2x³)

= (5x²) (-2x³)

= 10 x⁵

**Problem 1 :**

Multiply (-6x) and (-4x³)

**Solution :**

= (-6x) **x** (-4x³)

= 24 x⁴

**Problem 2 :**

Multiply (2a-1) and (8a-5)

**Solution :**

= (2a-1) (8a-5)

To multiply these binomials we have to distribute 2a with (8a-5) and distribute -1 with (8a-5)

When we combine the like terms,we get

= 16a²-18a+5

We can do the the same problem in the following flow chart method also.

When we combine the like terms,we get

= 16a²-18a+5

**Problem 3 :**

Multiply (2a²+5a-1) (8a²-3a+5)

**Solution :**

= (2a²+5a-1) (8a²-3a+5)

To multiply these trinomials, we have to distribute 2 a² with (8a²-3a+5), distribute 5a with (8a²-3a+5) and -1 with (8 a² - 3 a + 5).

= 16a⁴-6a³+10a²+40a³-15a²+25a-8a²+3a-5

Now we have to combine the like terms

= 16a⁴-6a³+40a³+10a²-15a²-8a²+25a+3a-5

= 16a⁴ + 34 a³ -13 a²+ 28 a - 5

**Problem 4 :**

Multiply (2x²+5) and (3y²-4y+7)

**Solution :**

= (2x²+5) (3y²-4y+7)

To multiply these binomial and trinomial we have to distribute 2x² with (3y²-4y+7) and distribute 5 with (3y²-4y+7).

= 6x²y²-8x²y+14x²+15y²-40y+35

now we have to combine the like terms

= -2x²y+14x²+15y²-40y+35

**Problem 5 :**

Multiply (3x+8) and (4y-7)

**Solution :**

= (3x+8)(4y-7)

To multiply these binomials we have to distribute 3x with (4y-7) and distribute 8 with (4y-7)

= 12xy-21x+32y-56

Since there is no like terms. So we cannot simplify this.

- Adding algebraic equation
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- Multiplication of algebraic equations
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- Adding algebraic equation Worksheet
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- Factoring Worksheets
- Framing Quadratic Equation From Roots
- Framing Quadratic-Equation Worksheet
- Relationship Between Coefficients and roots
- Roots of Cubic equation
- Roots of Polynomial of Degree4
- Roots of Polynomial of Degree5

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