Question

POLYNOMIALS
1.Form the quadratic polynomials whose zeroes are (i)
-3 and 2/5
(ii) 2/3 and -1/5​

Answer 1

pls refer my attachment:

Answer 2

Answer:

(I) P(x) = 5x² + 13x - 6  (II) P(x) = 15x² - 7x - 2

Step-by-step explanation:

(I) α = -3 , β = 2/5

P(x) = k {x² - (α + β)x +αβ}

= k {x² - (-3 + 2/5)x + (2/5)(-3)}

= k {x² - (-13/5)x +(-6/5)}

= k {x² + 13x/5 - 6/5}

= k {(5x² +13x -6) / 5 }

If k = 5 then P(x) = 5x² + 13x - 6

(II)  α = 2/3 , β = -1/5

P(x) = k {x² - (α + β)x +αβ}

= k {x² - (2/3 - 1/5)x + (2/3)(-1/5)}

= k {x² - (7/15)x +(-2/15)}

= k {x² - 7x/15 - 2/15}

= k {(15x²- 7x - 2) / 15 }

If k = 15 then P(x) = 15x² - 7x - 2