Question

4p^2+8p+3
Question maths

Answer 1

Step-by-step explanation:

4p²+8p+3

=4p²+6p+2p+3

=2p(2p+3)+1(2p+3)

=(2p+3)(2p+1)

p= -3/2 or -1/2

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Answer 2

Answer:

(2x + 1)(2x + 3)

Step-by-step explanation:

ax² + bx + c = a(x - $x_{1}$)(x - $x_{2}$)

D = b² - 4ac

$x_{12}$ = ( - b ± √D ) / 2a

~~~~~~~~~

Let find zeros of f(x) = 4p² + 8p + 3

4p² + 8p + 3 = 0

D = 8² - 4(4)(3) = 16 = 4²

$x_{12}$ = ( - 8 ± √16 ) / 2(4) = (- 2 ± 1) / 2

$x_{1}$ = - $\frac{1}{2}$

$x_{2}$ = - $\frac{3}{2}$

4p² + 8p + 3 = 4(x + $\frac{1}{2}$ )(x + $\frac{3}{2}$ ) = (2x + 1)(2x + 3)