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Name Date Class LESSON84Practice B Factoring ax2 + bx + factor each trinomial. 1. 2×2 + 13x + 15 4. 5×2 + 21x + 4 7. 7×2 59x + 24 10. 2×2 + 11x 13 13. 8×2 + 29x 12 16. 12×2 7x 12 19. 12×2 35x

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How to fill out factoring ax2 bx c

01

To fill out factoring ax2 bx c, follow these steps:

02

Step 1: Find the factors of the coefficient 'a' and write them down.

03

Step 2: Find the factors of the constant term 'c' and write them down.

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Step 3: Look for pairs of factors that multiply to give the coefficient 'b' (the middle term).

05

Step 4: Write the pairs of factors as combination factors with positive and negative signs.

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Step 5: Replace the middle term 'bx' with the combination factors from Step 4.

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Step 6: Group the terms and factor by grouping, if possible.

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Step 7: Apply the zero product property and set each factor equal to zero to solve for 'x'.

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Step 8: Solve the resulting simpler equations to find the values of 'x'.

Who needs factoring ax2 bx c?

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Factoring ax2 bx c is needed by mathematicians, algebra students, and anyone working with quadratic equations.

02

Factoring allows us to simplify and solve quadratic equations, which is essential in various mathematical applications such as physics, engineering, and economics.

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By factoring quadratic equations, we can find the roots or solutions of the equation, determine the vertex, identify the minimum or maximum points, analyze the behavior of the parabola, and solve real-world problems involving quadratic functions.

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