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In problems 15-22, simplify by combining like terms.
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- 1. Simplify by multiplying everything out. a. 3x2 X 4x3 X 2y2 = b. 3y2 X (-4y) X (-2y) = c. 4x2y X 3xy2 X 2x3y =arrow_forwardb. If 8x − 0 = 3x + 5 , then x=arrow_forward7. Multiply and Simplify: 2+ 6x + 9 x+4 x+3 7-16 a. X+3 X-4 *-4,-3 c. +10x² + 35x+ 36 2-11x-48 :x--4,-3 b. 6x- 3; x-3 d. 2x-3 X--4, - 3 4x-4arrow_forward
- 2. Select all expressions that are equivalent to x-4-32 A (x-16*x+2x 8.(x+2*x-16) -CH-S*X+4) D.(x+8xx-4) E (x+4*x-8) Etx-4*x+8) 3. Select all solutions to the equation (2x - 4x + 5) = 0 A1=-= 8x== Cx=22 0.x = 2 b) Sections with are optional Ex = -5 F.x=3 4. Show that (3x - 1Xxx + 5) is equivalent to 3x² + 14x-5 height (feet) E60302 SU 10 5. The height of a sortbail in feet, is modeled by the function is given by h(ty = 3+55:- 16r, where is the time, in seconds, after the softball is hit. A graph of the function is shown. time (seconds) a. About when does the softball reach its maximum height? b. About how high is the maximum height of the softball? 6 Here is a graph that represents a quadratic function which equation could de this function? About when does the ball hit the ground? Ax=(x-2*x + 3) 8.y=(x-2x-3) V x=(x+26x31 D. x = (x + 2x-3) 7. Salve the equation 2x - 7x-15 = 0 Explain or show your work 8. Complete the long division problem to find the quotient of 1,651 and 13 1 13arrow_forward1.If the volume of a box is represented by the expression (x3 - 3x2 -10x + 24) cm3 and the width is (x - 2) cm. What are the other dimensions? A. (x + 3) (x - 4) B. (x - 3) (x - 4) C. (x - 3) (x + 4) D. (x + 3) (x + 4) 2.One of the roots of -5x2(x3 + 2x - 7) is 0. How many other roots are there? A. 3 B. 4 C. 5 D. 6 3.Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) = (x – 1) (x + 2) (x – 3) C. 2 (x + 1) (x + 2) (x + 3) D. 2 (x - 1) (x - 2) (x - 3) 4.Which of the following polynomial equations has 2 as one of the roots? A. x2 – 5x + 8 = 0 B. 4x3 – 9x2 - 3x = 0 C. 4x4 + 8x3 - 39x2 = 0 D. x3 + 6x2 – 16x = 0 5.The polynomial equation whose roots are {-1, - ½ and 3} is _______ A. 2x3 – 3x2 – 8x – 3 = 0 B. x3 - 6x2 – x – 3 = 0 C. 2x3 + 3x2 – 5x – 3 = 0 D. 2x3 + 3x2 + x – 15 = 0arrow_forward7. Simplify the following expression 2x x-1 + 2 x +1arrow_forward
- 1. Simplify. Express your answer with positive exponents. No decimals!! V4x2y6 (c) (2x-2y3)2 (4x3y3)2 (10x6)4 (a) (-a-2b-5)(-2ab-1)-2 (b) (10x-6)2arrow_forwardIf x and y can take any real values, what is the smallest possible value of the expression 2x² + 4xy +5y² + 4x+10y +13?arrow_forwardIf 6 is substituted for x in the equation2(x - 3) - 17 = 13 - 3(x + 2),is the resulting statement true or false?arrow_forward
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