We read your photo as:

Factorize the quadratic expression 2x2 + 7x + 3

Mathematics

ScanSolve AI Answer

Answer

A

Step-by-step solution

4 steps

To factorize the quadratic expression 2x2+7x+32x^2 + 7x + 3, we look for two numbers that multiply to A×CA \times C and add up to BB. Here, A=2A=2, B=7B=7, and C=3C=3.

  1. Find two numbers that multiply to A×CA \times C and add to BB.

    We need two numbers that multiply to 2×3=62 \times 3 = 6 and add up to 7. These numbers are 1 and 6.

  2. Rewrite the middle term using these two numbers.

    2x2+7x+3=2x2+x+6x+32x^2 + 7x + 3 = 2x^2 + x + 6x + 3

  3. Group the terms and factor out the common factor from each group.

    (2x2+x)+(6x+3)(2x^2 + x) + (6x + 3) x(2x+1)+3(2x+1)x(2x + 1) + 3(2x + 1)

  4. Factor out the common binomial (2x+1)(2x + 1).

    (2x+1)(x+3)(2x + 1)(x + 3)

    Comparing this with the given options:
    a. (2x+1)(x+3)(2x+1)(x+3)
    b. (2x+1)(x+1)(2x+1)(x+1)
    c. (2x+3)(x+1)(2x+3)(x+1)
    d. (x+3)(x+1)(x+3)(x+1)

    The correct option is a.

    The final answer is a. (2x+1)(x+3)\boxed{\text{a. } (2x+1)(x+3)}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QFactorize the algebraic expression 3x2 + 7x − 12x − 34 − 2x2 + 10QTo factorize the quadratic expression x2 + 4x + 3:QSimplify and factor the quadratic expression: 3x2 + 7x − 12x − 34 − 2x2 + 10QFactorize the expression x2 - 9.QFactorize the quadratic expression x2 + x − 12.
Browse by topic:Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp