Factor Perfect Square Trinomial - Examples & Practice
Read this topicExplanations 3
- Model Factoring Perfect square trinomials are in the form x2+2xy+y2x^2+2xy+y^2x2+2xy+y2 or x2−2xy+y2x^2-2xy+y^2x2−2xy+y2. These can be factored as (x+y)2(x+y)^2(x+y)2 and (x−y)2…
By Joshua Pan, Moor Xu, Amy Feraco, Jonathan Heller, Anusha Rahman
- (Video) Factoring Perfect Square Trinomials by PatrickJMT The video by PatrickJMT gives us some examples of how to factor perfect square trinomials. Summary\large{\text{Summary}…
By Stefan Cuevas, Naomi Burgess, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- Factoring Perfect Square Trinomials Before we dive into this topic, it's important that break it down, and we are totally comfortable with two terms: perfect square and trinomia…
By Hannah Bonville, Naomi Burgess, Alex Federspiel, Ruiran Xun, Amy Feraco, Jonathan Heller, Anusha Rahman
Problems 27
- Which of the following expressions are perfect square trinomials?
- Factor x2−8x+16x^2 - 8x + 16x2−8x+16.
- Which of the following give us a perfect square trinomial when expanded?
- What does a perfect square trinomial look like before being factored?
- Which of the following give us a perfect square trinomial when expanded?
- If x2+4x+4=(x+a)(x+b)x^2 + 4x + 4 = (x+a)(x+b)x2+4x+4=(x+a)(x+b), find a+ba+ba+b.
- If x2+8x+16x^2 + 8x + 16x2+8x+16 factors as (x+a)(x+b)(x+a)(x+b)(x+a)(x+b), find 10a+b10a+b10a+b.
- If x2−6x+9=(x+a)(x+b)x^2 - 6x + 9 = (x+a)(x+b)x2−6x+9=(x+a)(x+b), find ∣a−b∣|a-b|∣a−b∣.
- Which of the following is a factor of x4+6x2+9x^4 + 6x^2 + 9x4+6x2+9?
- Factor x2+36x+324x^2+36x+324x2+36x+324.
- Which of the following is a trinomial?
- Which of the following is a perfect square trinomial?
- Which of the following, when expanded, would give a perfect square trinomial?
- If 4x2+4x+1=(a+b)24x^2 + 4x + 1 = (a + b)^24x2+4x+1=(a+b)2, what are aaa and bbb?
- A deluxe pizza has an area of π(x2−12x+36)\pi (x^2 - 12x + 36)π(x2−12x+36), what is the radius of this pizza?
- What are the factor(s) of x6−8x3+16x^6 - 8x^3 + 16x6−8x3+16?
- If Alice has x2−14x+49=16x^2 - 14x + 49 = 16x2−14x+49=16 bananas, what is a possible value of xxx?
- Which of the following is not a step in factoring x4−28x2+196x^4 - 28x^2 + 196x4−28x2+196?
- How can a2−8ab2+16b4a^2 - 8ab^2 + 16b^4a2−8ab2+16b4 be factored?
- When (x−y)2(x - y)^2(x−y)2 is expanded, what will the coefficient of the xyxyxy term be?
- Simplify the following: x3+x2−2x2x^3+x^2-2x^2x3+x2−2x2
- Factor the trinomial below: 4x2+9−12x4x^2+9-12x4x2+9−12x
- Factor 4x3+8x2+4x4x^3+8x^2+4x4x3+8x2+4x.
- Factor: 36x2+132x+12136x^2 + 132x + 12136x2+132x+121
- Factor: x2−4x+4x^2 - 4x + 4x2−4x+4
- Factor 16x4−40x2+2516x^4 - 40x^2 +2516x4−40x2+25.
- Find aaa and bbb for the trinomial 4x2+12x+9,4x^2 + 12x + 9,4x2+12x+9, so that 4x2+12x+9=(a+b)2.4x^2 + 12x + 9 = (a+b)^2.4x2+12x+9=(a+b)2.