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3 years ago

What is the difference between factoring and solving ?

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Answer:

Factoring is a step taken towards solving a quadratic equation. ... You cannot factor them, the only way to find the roots then, is by using the quadratic formula. Suppose you factor the quadratic polynomial as and . Then set them equal to zero and solve for , you will have

Step-by-step explanation.

Example 1 – Solve: x2 + 16 = 10x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

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Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1 -1 -4 4

1 0 -4

1 0 -4 0

The remainder is zero, hence one factor is (x-1)

PART 3:

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2 years ago

Find y when x=77, if y varies inversly as x, and y = 23 when x = 115.

Eduardwww [97]

The required value of y is 2645 / 77 when x = 77.

Step-by-step explanation:

1. Let's check the information given to answer:

if y varies inversely as x, and y = 23 when x = 115. Find y when x=77

2. What is y when x = 77?

As the statement "y varies inversely as x" translates into y = k/x

If we let y = 23 and x = 115, the constant of variation becomes

23 = k ÷ 115

k = 23 × 115

k = 2645

Thus the specification equation is y = 2645 ÷ x . Now, letting x = 77, we obtain

y = 2645 ÷ x

y = 2645 ÷ 77

So, The required value of y = 2645 / 77 when x = 77

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3 years ago