Question

Can you please help me with these 3 questions. 1. Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h = 148t − 16t2. What is that maximum height?

2. Find a polynomial function with the given zeros. 6, −2, 0

3. Let P(x) = 5x3 + 4x2 − x + 2. Use synthetic division to find the value. P(−2)

thank you

Answer 1

1 ☺ geven tine t seconds 16t height of the object after i's hlt) = 1487 t² for max. heeght hlt)= 148 - 32 = 32 t = 148 37 t = 32 soe sec. 30 8 after 37 sec. 8 2 - max. height occurs max. height = h 1488337 16 r. 5.476 - 21,900 1) 43,808 – 21,904 64 21904 64 = 2 342.25 feet. all 3 > zesos of Senice 6, -2 zeros of polynomees .. (x6) , (x+2) and (x-o) are polynomial . p(*) x (x + 2(x+2) -(2-08) (x+2) x²+2x² - 6x²_12x Žoze? x²_4x²_12x P(x) = p(x)

w ☺ devison P(*) 5x² + 4x²-x+2 For finding P(-2) by synthetic write the Coefficient of polynomea, and write the leading coeff in step-I below column گی 4 2 -2 l step-II t multiply s by (-2) and write et in column of and then add 4 -2 5 2 -10 12 -22 X s -6 - 20 the value of P(-2) term -20 last geves the 20 - - P(-2)