Question

Factories: P⁴+2P²+9 by middle term splitting​

Answer 1

Answer:

p4 + 2p2 + 9

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((p4) + 2p2) + 9

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring p4+2p2+9

The first term is, p4 its coefficient is 1 .

The middle term is, +2p2 its coefficient is 2 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 2 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6

9 + 1 = 10

Final result :

p4 + 2p2 + 9