Question

3. Find each of the following products:

a) ( x²– 3x + 7)( 2x + 3)

b) (9x²– x + 15)( x²– x – 1)


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Answer 1

Answer:

(i) _

Given (x³−3x+7)×(2x+3)

To find the product of given expression we have to use horizontal method.

In that we have to multiply each term of one expression with each term of another

Expression so by multiplying we get,

(x³−3x+7)×(2x+3)

⇒2x(x²−3x+7)+3(x²−3x+7)

⇒2x³−6x²+14x+3x²−9x+21

⇒2x³−3x²+5x+21

(ii) _

given ( 9x²- x + 15 ) ( x²- x- 1 )

9x⁴ + 9x³ + 9 + x³ + x² + x - 15x² - 15x - 15

9x⁴ + 10x³ - 14x² - 6

Answer 2

Answer:

Step-by-step explanation:

(x) ^2 + (7)^2 - 2(x) (7)

(x^2 + 49 - 14x) (2x +3)

[x^2 + (7 +7) - 14x] (2x + 3)

(x^2 + 7 + 7 - 14x) (2x + 3)

Now, by using Splitting the middle term:

= 1(x^2 + 7) + 7 (1 - 2x)

= (x^2 + 7) (1 + 7) is the answer.