Question

21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56​

Answer 1

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12

Answer 2

Explanation:

21.

• x²+10x+21
• x²+3x+7x+21
• x(x+3)+7(x+3)
• (x+3)(x+7)

22.

• x²-2x-35
• x²-5x+7x-35
• x(x-5)+7(x-5)
• (x-5)(x+7)

23.

• 2x+28=9x-56
• 28+56=9x-2x
• 84=7x
• x=84/7
• x=12

hope it helps

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