Question

Grade 8 . Please factorize the following question ! a) x² + 8x + 15 b) 2y² + 11y + 15 c) 5z² + 9z + 4 d) 4x + 6x + 2 Please give answer with explanation !

Answer 1

Question number 1:-

${x}^{2} + 8x + 15$

$= {x}^{2} + 3x + 5x + 15$

$= x( x + 3) + 5(x +3)$

$= (x + 5)(x + 3)$

Question number 2:-

$2 {y}^{2} + 11y + 15$

$= 2 {y}^{2} + 6y + 5y + 15$

$= 2y(y + 3) + 5(y + 3)$

$= (2y + 5)(y + 3)$

Question number 3:-

$5 {z}^{2} + 9z + 4$

$= 5 {z}^{2} + 5z + 4z + 4$

$= 5z(z + 1) + 4(z + 1)$

$= (5z + 4)(z + 1)$

Question number 4:-

$4 {x}^{2} + 6x + 2$

$= 4 {x}^{2} + 4x + 2x + 2$

$= 4x(x + 1) + 2(x + 1)$

$= (4x + 2)(x + 1)$

$= 2(2x + 1)(x + 1)$

$<marquee>Hope it helps you...Please mark this answer as the brainliest and follow me..</marquee>$

Answer 2

Step-by-step explanation:

a) x²+ 8x + 15

a=1, b=8, c=15 a×c= 1×15 =15

x² + 3x+ 5x +15

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

(x+3) (x+5) Answer

b)2y²+11y +15

a=2, b=11, c=15 a ×c=2× 15=30

2y² + 6y + 5y + 15

2y(y+3) +5(y+3)

(y+3) (2y+5) Answer

c)5z²+9z + 4

a=5, b=9, c=4 a ×c= 5 ×4=20

5z² + 5z +4z +4

5z(z+1) + 4(z+1)

(z+1) (5z+4) Answer

plz mark it as brainlist

THANKS