16 Pre-Calculus Questions

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WebAssign 131-lab#2(0.6-0.7) (Homework) Current Score : – / 20 Due : Sunday, September 24 2017 11:59 PM EDT 1. –/1 pointsHarMathAp11 0.6.004. Factor out the common monomial factor. 15y3z + 5yz2 − 10y2z3 2. –/1 pointsHarMathAp11 0.6.006. Factor by grouping. 8y − 40 − x2y + 5x2 3. –/1 pointsHarMathAp11 0.6.016. Factor the expression as a product of binomials. 64y2 + 112y + 49 Sarah Saad MTH131, section 02, Fall 2017 Instructor: Maila Brucal-Hallare 4. –/4 pointsHarMathAp11 0.6.020. Factor each expression as a product of binomials. (a) 10x2 − 99x − 63 (b) 10x2 − 27x − 63 (c) 10x2 + 61x − 63 (d) 10x2 + 9x − 63 5. –/1 pointsHarMathAp11 0.6.030. Factor completely. x5 + 10x4 + 25x3 6. –/1 pointsHarMathAp11 0.6.042. Factor completely. x8 − 625 7. –/2 pointsHarMathAp11 0.6.065. Revenue R from the sale of x units of a product is found by multiplying the price by the number of items sold. (a) Factor the right side of R = 400x − x2. R= (b) What is the expression for the price of the item? 8. –/1 pointsHarMathAp11 0.7.001. Simplify the fraction. 10x8y9 5x8z 9. –/1 pointsHarMathAp11 0.7.004. Simplify the fraction. x2 − 11x + 28 x2 − 16 10.–/1 pointsHarMathAp11 0.7.009. Perform the indicated operation and simplify. 4x − 28 · 5x − 10 x−2 9x − 63 11.–/1 pointsHarMathAp11 0.7.017.MI. Perform the indicated operation and simplify. y2 − 2y + 1 9y2 − 9y 2 ÷ y − 10y + 9 27y2 12.–/1 pointsHarMathAp11 0.7.023. Perform the indicated operation and simplify. a a−9 − a−9 a 13.–/1 pointsHarMathAp11 0.7.026. Perform the indicated operation and simplify. 9 x−8 − 2 x+1 x +x 14.–/1 pointsHarMathAp11 0.7.038. Simplify the complex fraction. 7 + 5 3y y 1 1 + 4 5y 15.–/1 pointsHarMathAp11 0.7.047.MI. Rationalize the denominator of the fraction and simplify. 3− x 3+ x 16.–/1 pointsHarMathAp11 0.7.049. Rationalize the numerator of the fraction and simplify. 5x + h − h 5x
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Final solutions appear in the last line unless otherwise noted.
1. Factor
15y3 z + 5yz2 − 10y2 z 3
5yz(3y2+ z− 2y z 2)
2. Factor by grouping
8y− 40− x 2 y+ 5x2
(8y− 40)+ (− x 2 y+ 5x2)
8( y− 5)− x 2( y− 5)
( y− 5)(8− x 2 )
3. Factor
64y2+ 112y+ 49
(8y+ 7)2
4. Factor
2
10x − 99x− 63
a. (2x− 21)(5x+ 3)
2
10x − 27x− 63
b. (5x− 21)(2x+ 3)
2
10x + 61x− 63
c. (10x− 9)( x+ 7)
10x2+ 9x− 63
d. (10x− 21)( x+ 3)

5. Factor
x 5+ 10x4+ 25x3
x 3 ( x 2+ 10x+ 25)
x 3 ( x+ 5)2
6. Factor
8

x − 625
4 2
2
( x ) − 25
4
4
( x + 25)( x − 25)
4
2
2
(x + 25)( x − 5)( x +...


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