Question

15x² + I6x + 4 Factorise the given polynomial.

Answer 1

here is your answer

15x^2+16x+4

by splitting middle term method

15x^2+10x+6x+4

5x(3x+2)+2(3x+2)

(5x+2)(3x+2)

5x = -2 & 3x = -2

x = -2/5 = -0.4 & x = -2/3 = -0.67

so, we will get two zeroes -0.4 & -0.67.

Answer 2

Given,

$15x^{2} + 16x + 4 \\ \\ \text{spliting the middle term} \\ \\ = 15x^{2} + 10x + 6x + 4 \\ \\ = 5x(3x + 2) + 2(3x +2) \\ \\ = (3x+2)(5x+2)$