Question

the model represents the factorization of 2x2+5x+3. what are the factors of the polynomial.(2x+3)(x+1),(2x-3)(x-1),(3x+2)(x-1),(3x-2)(x-1).​

Answer 1

Answer:

The factors of the polynomial are (2x + 3)(x + 1) ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to factor a trinomial in the form ax² ± bx ± c  

- Look at the c term first.  

# If the c term is a positive number, then its factors r , s will both  

  be positive or both be negative it depends on the sign of b, if b  

  positive then both are positive if b negative then both are negative  

# a has two factors h and k  

# The brackets are (hx ± r)(kx ± s) where a = hk , c = rs and b = rk + hs  

# If the c term is a negative number, then either r or s will be negative,  

  but not both.  

# a has two factors h and k  

# The brackets are (hx + r)(kx - s) where a = hk , c = rs and b = rk - hs  

* Lets solve the problem

∵ The trinomial is 2x² + 5x + 3

∴ a = 2 , b = 5 , c = 3

∵ c is positive

∴ Its factors r and s have same sign

∵ b is positive

∴ r and s both positive

∵ a = 2  

∵ The factors of a are h , k

∵ 2 = 2 × 1

∴ h = 2 and k = 1

∵ c = 3

∵ The factors of c are r , s

∵ 3 = 3 × 1

∴ r = 3 and s = 1

∵ The brackets are (hx + r)(kx + s)

∴ 2x² + 5x + = (2x + 3)(x + 1)

* The factors of the polynomial are (2x + 3)(x + 1)

Answer 2

Answer:

A

Step-by-step explanation: