MATH113 PRACTICE-2 1) Perform the indicated operation and +2) h-2) Ans: h 4 2) F

Question

MATH113 PRACTICE-2 1) Perform the indicated operation and +2) h-2) Ans: h 4 2) Factor out the common factor. y-6)+9-6 Ans: (-6-3) 3) Factor the trinomial. 6x2+11x-21 Ans: (x+3)(6x-7) 4) Use a special factoring formula to factor the expression. (x-2)2 -9 5) Factor the expression completely Ans: (x -5)(x+1) 6) Find the domain of the expression. Ans: (yly> 3) 7) Perform the multiplication or division and simplify. tTx tl 3x + 2 x2+3x +2 2+5x+6 8) Perform the addition or subtraction and simplify. Ans : 2(5x -9) (2x-3)2 (2x-3) (2x -3)2

Explanation / Answer

1 . (h+2)((h-2)

=(h) 2-2(h)+2(h)-4

=h -4

2.y(y-6) 2+9(y-6)

Here y-6 is common

(y-6)(y(y-6)+9)=(y-6)(y 2-6y+9)=(y-6)(y-3) 2

3. 6x 2+11x-21

6x 2+18x-7x-21=6x(x+3)-7(x+3)=(6x-7)(x+3)

4. (x-2)2-9 = (x-2)2-32=(x-2-3)(x-2+3)=(x-5)(x+1)

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