If the product (2x + 3)(x + k) is 2x2 + 13x + 15, what is the value of k?

Given:

The product is .

To find:

The value of k.

Solution:

According to the question,

Using distributive property, we get

On comparing both sides, we get

Both value of k are same, i.e., 5.

Therefore, the value of k is 5.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a