Question

Activity 1: Find My Partner
Directions Solve the indicated product of the following and find your answer shown
on the right side to find its partner
3(x + 7)
2x? - 8x
2x(x-4)
X? + Bx + 16
7(x + 1)-2x
x² - 2x-3
(x - 3)(x + 1)
3x + 21
5x + 7
Process Questions
a Were you able to find the indicated product?
b. What mathematical concepts or principles did you use to find your answer?
What common characteristics can you see in the products?
c.What common characteristics can you see in the products ?​

Answer 1

Answer:

Sorry i didn't know the answer

Answer 2

$i) 3(x + 7 ) \\= 3x + 3 \times 7 \\= 3x + 21$

$ii) 2x( x - 4 ) \\= 2x \times x - 2x \times 4 \\= 2x^{2} - 8x$

$iii) 7( x + 1 ) - 2x \\= 7 \times x + 7 \times 1 - 2x \\= 7x + 7 - 2x \\= 5x + 7$

$iv) ( x - 3 )( x + 1 ) \\= [ x + (-3) ]( x + 1 ) \\= x^{2} + ( -3 + 1 )x + ( -3) \times 1$

/* By Algebraic Identity */

$\boxed{\pink{ (x+m)( x + n ) = x^{2} + ( m + n )x + mn }}$

$= x^{2} - 2x - 3$

a Were you able to find the indicated product?

$Yes$

b. What mathematical concepts or principles did you use to find your answer?

$i) Multiplying \: a \:monomial \: by\:a \: binomial \\ii) Distributive \: law \: over \: addition \\iii) Distributive \: law \: over \: subtraction \\iv) Algebraic \: identity$

c.What common characteristics can you see in the products ?

$i) Product \: of \: monomial \: and \:a \: binomial \\is \: equal \: to \: a \: binomial$

$ii) Product \: of \: two \: binomials \: equal \:to \\a \: trinomial$

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